97556116320 has 288 divisors, whose sum is σ = 365286946752. Its totient is φ = 23560482816.

The previous prime is 97556116291. The next prime is 97556116321. The reversal of 97556116320 is 2361165579.

97556116320 is a `hidden beast` number, since 9 + 7 + 5 + 5 + 6 + 1 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97556116321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942997 + ... + 1041323.

It is an arithmetic number, because the mean of its divisors is an integer number (1268357454).

Almost surely, 2^97556116320 is an apocalyptic number.

97556116320 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 97556116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182643473376).

97556116320 is an abundant number, since it is smaller than the sum of its proper divisors (267730830432).

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

97556116320 is a wasteful number, since it uses less digits than its factorization.

97556116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98414 (or 98403 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 97556116320 in words is "ninety-seven billion, five hundred fifty-six million, one hundred sixteen thousand, three hundred twenty".