10297756800 has 1152 divisors, whose sum is σ = 43506590400. Its totient is φ = 2388787200.

The previous prime is 10297756789. The next prime is 10297756801. The reversal of 10297756800 is 865779201.

10297756800 is a `hidden beast` number, since 10 + 2 + 9 + 77 + 568 + 0 + 0 = 666.

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

It is a super-2 number, since 2×10297756800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10297756801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 251164780 + ... + 251164820.

Almost surely, 2^10297756800 is an apocalyptic number.

10297756800 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 10297756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21753295200).

10297756800 is an abundant number, since it is smaller than the sum of its proper divisors (33208833600).

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

10297756800 is a wasteful number, since it uses less digits than its factorization.

10297756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10297756800 in words is "ten billion, two hundred ninety-seven million, seven hundred fifty-six thousand, eight hundred".