10513748400 has 60 divisors (see below), whose sum is σ = 33679044552. Its totient is φ = 2803665920.

The previous prime is 10513748387. The next prime is 10513748429. The reversal of 10513748400 is 484731501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×10513748400⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4379529 + ... + 4381928.

Almost surely, 2^10513748400 is an apocalyptic number.

10513748400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513748400 is an abundant number, since it is smaller than the sum of its proper divisors (23165296152).

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

10513748400 is a wasteful number, since it uses less digits than its factorization.

10513748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761478 (or 8761467 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10513748400 in words is "ten billion, five hundred thirteen million, seven hundred forty-eight thousand, four hundred".