10719584972832 has 48 divisors (see below), whose sum is σ = 28139739550272. Its totient is φ = 3573089721600.

The previous prime is 10719584972813. The next prime is 10719584972869. The reversal of 10719584972832 is 23827948591701.

10719584972832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10719584972832² (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 7 ways as a sum of consecutive naturals, for example, 1665213 + ... + 4920579.

It is an arithmetic number, because the mean of its divisors is an integer number (586244573964).

Almost surely, 2^{10719584972832} is an apocalyptic number.

10719584972832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10719584972832 is an abundant number, since it is smaller than the sum of its proper divisors (17420154577440).

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

10719584972832 is a wasteful number, since it uses less digits than its factorization.

10719584972832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289681 (or 3289673 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 10719584972832 in words is "ten trillion, seven hundred nineteen billion, five hundred eighty-four million, nine hundred seventy-two thousand, eight hundred thirty-two".