97752785924700 has 216 divisors, whose sum is σ = 315277839676800. Its totient is φ = 25318947669120.

The previous prime is 97752785924683. The next prime is 97752785924713. The reversal of 97752785924700 is 742958725779.

It is a happy number.

97752785924700 is a `hidden beast` number, since 9 + 7 + 7 + 5 + 27 + 8 + 592 + 4 + 7 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128320 + ... + 13982919.

Almost surely, 2^{97752785924700} is an apocalyptic number.

97752785924700 is a gapful number since it is divisible by the number (90) 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 97752785924700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157638919838400).

97752785924700 is an abundant number, since it is smaller than the sum of its proper divisors (217525053752100).

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

97752785924700 is a wasteful number, since it uses less digits than its factorization.

97752785924700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111481 (or 14111471 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 97752785924700 in words is "ninety-seven trillion, seven hundred fifty-two billion, seven hundred eighty-five million, nine hundred twenty-four thousand, seven hundred".