10827805200 has 60 divisors (see below), whose sum is σ = 34685073168. Its totient is φ = 2887414400.

The previous prime is 10827805199. The next prime is 10827805201. The reversal of 10827805200 is 250872801.

It is an interprime number because it is at equal distance from previous prime (10827805199) and next prime (10827805201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10827805201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4510386 + ... + 4512785.

Almost surely, 2^10827805200 is an apocalyptic number.

10827805200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10827805200 is an abundant number, since it is smaller than the sum of its proper divisors (23857267968).

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

10827805200 is a wasteful number, since it uses less digits than its factorization.

10827805200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023192 (or 9023181 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 10827805200 in words is "ten billion, eight hundred twenty-seven million, eight hundred five thousand, two hundred".