10484668872 has 24 divisors (see below), whose sum is σ = 28395978390. Its totient is φ = 3494889600.

The previous prime is 10484668861. The next prime is 10484668897. The reversal of 10484668872 is 27886648401.

10484668872 is a `hidden beast` number, since 10 + 484 + 6 + 6 + 88 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10222423236 + 262245636 = 101106^2 + 16194^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72810129 + ... + 72810272.

Almost surely, 2^10484668872 is an apocalyptic number.

10484668872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10484668872 is an abundant number, since it is smaller than the sum of its proper divisors (17911309518).

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

10484668872 is a wasteful number, since it uses less digits than its factorization.

10484668872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145620413 (or 145620406 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 10484668872 in words is "ten billion, four hundred eighty-four million, six hundred sixty-eight thousand, eight hundred seventy-two".