10097568000 has 1152 divisors, whose sum is σ = 42855321600. Its totient is φ = 2322432000.

The previous prime is 10097567989. The next prime is 10097568001. The reversal of 10097568000 is 86579001.

10097568000 is a `hidden beast` number, since 1 + 0 + 0 + 97 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (10097568001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325727985 + ... + 325728015.

It is an arithmetic number, because the mean of its divisors is an integer number (37200800).

Almost surely, 2^10097568000 is an apocalyptic number.

10097568000 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 10097568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427660800).

10097568000 is an abundant number, since it is smaller than the sum of its proper divisors (32757753600).

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

10097568000 is a wasteful number, since it uses less digits than its factorization.

10097568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10097568000 in words is "ten billion, ninety-seven million, five hundred sixty-eight thousand".