10713725040 has 160 divisors (see below), whose sum is σ = 35763068160. Its totient is φ = 2643300352.

The previous prime is 10713725021. The next prime is 10713725051. The reversal of 10713725040 is 4052731701.

It is a super-2 number, since 2×10713725040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10713724989 and 10713725007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218467 + ... + 262973.

It is an arithmetic number, because the mean of its divisors is an integer number (223519176).

Almost surely, 2^10713725040 is an apocalyptic number.

10713725040 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 10713725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881534080).

10713725040 is an abundant number, since it is smaller than the sum of its proper divisors (25049343120).

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

10713725040 is a wasteful number, since it uses less digits than its factorization.

10713725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44599 (or 44593 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 10713725040 in words is "ten billion, seven hundred thirteen million, seven hundred twenty-five thousand, forty".