10713528000 has 672 divisors, whose sum is σ = 45371064960. Its totient is φ = 2361139200.

The previous prime is 10713527983. The next prime is 10713528017. The reversal of 10713528000 is 82531701.

It is an interprime number because it is at equal distance from previous prime (10713527983) and next prime (10713528017).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10713528000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14615634 + ... + 14616366.

Almost surely, 2^10713528000 is an apocalyptic number.

10713528000 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 10713528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685532480).

10713528000 is an abundant number, since it is smaller than the sum of its proper divisors (34657536960).

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

10713528000 is a wasteful number, since it uses less digits than its factorization.

10713528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10713528000 in words is "ten billion, seven hundred thirteen million, five hundred twenty-eight thousand".