97875033600 has 240 divisors, whose sum is σ = 327887049600. Its totient is φ = 25731686400.

The previous prime is 97875033569. The next prime is 97875033601. The reversal of 97875033600 is 633057879.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×97875033600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97875033600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97875033601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708451 + ... + 2744349.

It is an arithmetic number, because the mean of its divisors is an integer number (1366196040).

Almost surely, 2^97875033600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97875033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163943524800).

97875033600 is an abundant number, since it is smaller than the sum of its proper divisors (230012016000).

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

97875033600 is a wasteful number, since it uses less digits than its factorization.

97875033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36001 (or 35980 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 97875033600 in words is "ninety-seven billion, eight hundred seventy-five million, thirty-three thousand, six hundred".