97357987875456 has 2304 divisors, whose sum is σ = 380323786752000. Its totient is φ = 23571059097600.

The previous prime is 97357987875419. The next prime is 97357987875469. The reversal of 97357987875456 is 65457878975379.

It is a happy number.

97357987875456 is a `hidden beast` number, since 9 + 7 + 3 + 5 + 7 + 9 + 87 + 8 + 75 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 271192166605 + ... + 271192166963.

It is an arithmetic number, because the mean of its divisors is an integer number (165071088000).

Almost surely, 2^{97357987875456} is an apocalyptic number.

97357987875456 is a gapful number since it is divisible by the number (96) 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 97357987875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190161893376000).

97357987875456 is an abundant number, since it is smaller than the sum of its proper divisors (282965798876544).

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

97357987875456 is a wasteful number, since it uses less digits than its factorization.

97357987875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 709 counting only the distinct ones).

The product of its digits is 112021056000, while the sum is 90.

The spelling of 97357987875456 in words is "ninety-seven trillion, three hundred fifty-seven billion, nine hundred eighty-seven million, eight hundred seventy-five thousand, four hundred fifty-six".