10890225487200 has 144 divisors (see below), whose sum is σ = 36670018124880. Its totient is φ = 2803920107520.

The previous prime is 10890225487153. The next prime is 10890225487261. The reversal of 10890225487200 is 278452209801.

It is a super-2 number, since 2×10890225487200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10890225487200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78164779 + ... + 78303978.

It is an arithmetic number, because the mean of its divisors is an integer number (254652903645).

Almost surely, 2^{10890225487200} is an apocalyptic number.

10890225487200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10890225487200 is an abundant number, since it is smaller than the sum of its proper divisors (25779792637680).

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

10890225487200 is a wasteful number, since it uses less digits than its factorization.

10890225487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156468809 (or 156468796 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10890225487200 in words is "ten trillion, eight hundred ninety billion, two hundred twenty-five million, four hundred eighty-seven thousand, two hundred".