10876048000 has 64 divisors (see below), whose sum is σ = 27040614120. Its totient is φ = 4350412800.

The previous prime is 10876047989. The next prime is 10876048033. The reversal of 10876048000 is 84067801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2289431104 + 8586616896 = 47848^2 + 92664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 323877 + ... + 355876.

Almost surely, 2^10876048000 is an apocalyptic number.

10876048000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10876048000 is an abundant number, since it is smaller than the sum of its proper divisors (16164566120).

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

10876048000 is an frugal number, since it uses more digits than its factorization.

10876048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679782 (or 679760 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 10876048000 in words is "ten billion, eight hundred seventy-six million, forty-eight thousand".