10725134400 has 168 divisors, whose sum is σ = 39097244640. Its totient is φ = 2860024320.

The previous prime is 10725134359. The next prime is 10725134417. The reversal of 10725134400 is 443152701.

10725134400 is a `hidden beast` number, since 1 + 0 + 7 + 251 + 3 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80934 + ... + 167333.

Almost surely, 2^10725134400 is an apocalyptic number.

10725134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10725134400 is an abundant number, since it is smaller than the sum of its proper divisors (28372110240).

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

10725134400 is a wasteful number, since it uses less digits than its factorization.

10725134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248298 (or 248277 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10725134400 in words is "ten billion, seven hundred twenty-five million, one hundred thirty-four thousand, four hundred".