10804962672 has 120 divisors (see below), whose sum is σ = 34791151200. Its totient is φ = 3066370560.

The previous prime is 10804962533. The next prime is 10804962677. The reversal of 10804962672 is 27626940801.

It is a happy number.

10804962672 is a `hidden beast` number, since 10 + 8 + 0 + 4 + 9 + 626 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10804962677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114222 + ... + 186162.

It is an arithmetic number, because the mean of its divisors is an integer number (289926260).

Almost surely, 2^10804962672 is an apocalyptic number.

10804962672 is a gapful number since it is divisible by the number (12) 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 10804962672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395575600).

10804962672 is an abundant number, since it is smaller than the sum of its proper divisors (23986188528).

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

10804962672 is a wasteful number, since it uses less digits than its factorization.

10804962672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72111 (or 72102 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10804962672 in words is "ten billion, eight hundred four million, nine hundred sixty-two thousand, six hundred seventy-two".