196827621120 has 1296 divisors, whose sum is σ = 824515342560. Its totient is φ = 43061870592.

The previous prime is 196827621113. The next prime is 196827621127. The reversal of 196827621120 is 21126728691.

196827621120 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 2 + 7 + 621 + 12 + 0 = 666.

196827621120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196827621113) and next prime (196827621127).

It is a super-2 number, since 2×196827621120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196827621127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 628842084 + ... + 628842396.

It is an arithmetic number, because the mean of its divisors is an integer number (636200110).

Almost surely, 2^196827621120 is an apocalyptic number.

196827621120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196827621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412257671280).

196827621120 is an abundant number, since it is smaller than the sum of its proper divisors (627687721440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196827621120 is a wasteful number, since it uses less digits than its factorization.

196827621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 196827621120 in words is "one hundred ninety-six billion, eight hundred twenty-seven million, six hundred twenty-one thousand, one hundred twenty".