10724149872 has 70 divisors (see below), whose sum is σ = 31152843392. Its totient is φ = 3574712736.

The previous prime is 10724149837. The next prime is 10724149883. The reversal of 10724149872 is 27894142701.

10724149872 is a `hidden beast` number, since 10 + 72 + 414 + 98 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 448048 + ... + 471375.

Almost surely, 2^10724149872 is an apocalyptic number.

10724149872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10724149872 is an abundant number, since it is smaller than the sum of its proper divisors (20428693520).

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

10724149872 is an frugal number, since it uses more digits than its factorization.

10724149872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919449 (or 919428 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10724149872 in words is "ten billion, seven hundred twenty-four million, one hundred forty-nine thousand, eight hundred seventy-two".