10500710400 has 504 divisors, whose sum is σ = 39191543664. Its totient is φ = 2786918400.

The previous prime is 10500710357. The next prime is 10500710413. The reversal of 10500710400 is 401700501.

It is a super-2 number, since 2×10500710400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 49766295 + ... + 49766505.

Almost surely, 2^10500710400 is an apocalyptic number.

10500710400 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 10500710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595771832).

10500710400 is an abundant number, since it is smaller than the sum of its proper divisors (28690833264).

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

10500710400 is an frugal number, since it uses more digits than its factorization.

10500710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The spelling of 10500710400 in words is "ten billion, five hundred million, seven hundred ten thousand, four hundred".