10097835264 has 324 divisors, whose sum is σ = 33131962500. Its totient is φ = 2952069120.

The previous prime is 10097835239. The next prime is 10097835277. The reversal of 10097835264 is 46253879001.

It can be written as a sum of positive squares in 2 ways, for example, as 4711449600 + 5386385664 = 68640^2 + 73392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8084112 + ... + 8085360.

It is a 1-persistent number, because it is pandigital, but 2⋅10097835264 = 20195670528 is not.

Almost surely, 2^10097835264 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 10097835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565981250).

10097835264 is an abundant number, since it is smaller than the sum of its proper divisors (23034127236).

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

10097835264 is a wasteful number, since it uses less digits than its factorization.

10097835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10097835264 in words is "ten billion, ninety-seven million, eight hundred thirty-five thousand, two hundred sixty-four".