10097564400 has 720 divisors, whose sum is σ = 44375136000. Its totient is φ = 2065305600.

The previous prime is 10097564371. The next prime is 10097564413. The reversal of 10097564400 is 446579001.

10097564400 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 5 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20235351 + ... + 20235849.

Almost surely, 2^10097564400 is an apocalyptic number.

10097564400 is a gapful number since it is divisible by the number (10) 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 10097564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187568000).

10097564400 is an abundant number, since it is smaller than the sum of its proper divisors (34277571600).

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

10097564400 is a wasteful number, since it uses less digits than its factorization.

10097564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10097564400 in words is "ten billion, ninety-seven million, five hundred sixty-four thousand, four hundred".