196126247116800 has 8064 divisors, whose sum is σ = 1017690511638528. Its totient is φ = 36118462464000.

The previous prime is 196126247116783. The next prime is 196126247116823. The reversal of 196126247116800 is 8611742621691.

196126247116800 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 2 + 6 + 2 + 471 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1544301158337 + ... + 1544301158463.

It is an arithmetic number, because the mean of its divisors is an integer number (126201700352).

Almost surely, 2^{196126247116800} is an apocalyptic number.

196126247116800 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 196126247116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508845255819264).

196126247116800 is an abundant number, since it is smaller than the sum of its proper divisors (821564264521728).

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

196126247116800 is a wasteful number, since it uses less digits than its factorization.

196126247116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 196126247116800 in words is "one hundred ninety-six trillion, one hundred twenty-six billion, two hundred forty-seven million, one hundred sixteen thousand, eight hundred".