196512972480 has 1008 divisors, whose sum is σ = 783239049216. Its totient is φ = 46558955520.

The previous prime is 196512972457. The next prime is 196512972493. The reversal of 196512972480 is 84279215691.

It is a happy number.

196512972480 is a `hidden beast` number, since 1 + 9 + 65 + 12 + 97 + 2 + 480 = 666.

196512972480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 1547346177 + ... + 1547346303.

Almost surely, 2^196512972480 is an apocalyptic number.

196512972480 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 196512972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391619524608).

196512972480 is an abundant number, since it is smaller than the sum of its proper divisors (586726076736).

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

196512972480 is an equidigital number, since it uses as much as digits as its factorization.

196512972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 196512972480 in words is "one hundred ninety-six billion, five hundred twelve million, nine hundred seventy-two thousand, four hundred eighty".