97656854400 has 576 divisors, whose sum is σ = 402194257920. Its totient is φ = 22100152320.

The previous prime is 97656854369. The next prime is 97656854419. The reversal of 97656854400 is 445865679.

97656854400 is a `hidden beast` number, since 9 + 76 + 56 + 85 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×97656854400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 20762449 + ... + 20767151.

It is an arithmetic number, because the mean of its divisors is an integer number (698253920).

Almost surely, 2^97656854400 is an apocalyptic number.

97656854400 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 97656854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201097128960).

97656854400 is an abundant number, since it is smaller than the sum of its proper divisors (304537403520).

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

97656854400 is a wasteful number, since it uses less digits than its factorization.

97656854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 97656854400 in words is "ninety-seven billion, six hundred fifty-six million, eight hundred fifty-four thousand, four hundred".