97656898903200 has 4536 divisors, whose sum is σ = 458062634216628. Its totient is φ = 20248913018880.

The previous prime is 97656898903159. The next prime is 97656898903211. The reversal of 97656898903200 is 230989865679.

97656898903200 is a `hidden beast` number, since 9 + 76 + 5 + 68 + 98 + 90 + 320 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 38345768220816 + 59311130682384 = 6192396^2 + 7701372^2 .

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 755 ways as a sum of consecutive naturals, for example, 352551981462 + ... + 352551981738.

Almost surely, 2^{97656898903200} is an apocalyptic number.

97656898903200 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 97656898903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229031317108314).

97656898903200 is an abundant number, since it is smaller than the sum of its proper divisors (360405735313428).

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

97656898903200 is a wasteful number, since it uses less digits than its factorization.

97656898903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 97656898903200 in words is "ninety-seven trillion, six hundred fifty-six billion, eight hundred ninety-eight million, nine hundred three thousand, two hundred".