10890292800 has 168 divisors, whose sum is σ = 35859959776. Its totient is φ = 2893455360.

The previous prime is 10890292771. The next prime is 10890292841. The reversal of 10890292800 is 829209801.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354392 + ... + 1362408.

Almost surely, 2^10890292800 is an apocalyptic number.

10890292800 is a gapful number since it is divisible by the number (10) 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 10890292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929979888).

10890292800 is an abundant number, since it is smaller than the sum of its proper divisors (24969666976).

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

10890292800 is a wasteful number, since it uses less digits than its factorization.

10890292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 10890292800 in words is "ten billion, eight hundred ninety million, two hundred ninety-two thousand, eight hundred".