97509858264 has 256 divisors, whose sum is σ = 333852288000. Its totient is φ = 25679462400.

The previous prime is 97509858217. The next prime is 97509858283. The reversal of 97509858264 is 46285890579.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15112239 + ... + 15118689.

It is an arithmetic number, because the mean of its divisors is an integer number (1304110500).

Almost surely, 2^97509858264 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 97509858264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166926144000).

97509858264 is an abundant number, since it is smaller than the sum of its proper divisors (236342429736).

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

97509858264 is a wasteful number, since it uses less digits than its factorization.

97509858264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 97509858264 in words is "ninety-seven billion, five hundred nine million, eight hundred fifty-eight thousand, two hundred sixty-four".