10712632732960 has 96 divisors (see below), whose sum is σ = 25540572153600. Its totient is φ = 4245946951680.

The previous prime is 10712632732957. The next prime is 10712632732981. The reversal of 10712632732960 is 6923723621701.

10712632732960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10712632732960² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7382281 + ... + 8713399.

It is an arithmetic number, because the mean of its divisors is an integer number (266047626600).

Almost surely, 2^{10712632732960} is an apocalyptic number.

10712632732960 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 10712632732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770286076800).

10712632732960 is an abundant number, since it is smaller than the sum of its proper divisors (14827939420640).

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

10712632732960 is a wasteful number, since it uses less digits than its factorization.

10712632732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331594 (or 1331586 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 10712632732960 in words is "ten trillion, seven hundred twelve billion, six hundred thirty-two million, seven hundred thirty-two thousand, nine hundred sixty".