10890169200 has 480 divisors, whose sum is σ = 41416793600. Its totient is φ = 2709780480.

The previous prime is 10890169187. The next prime is 10890169229. The reversal of 10890169200 is 296109801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14979237 + ... + 14979963.

Almost surely, 2^10890169200 is an apocalyptic number.

10890169200 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 10890169200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708396800).

10890169200 is an abundant number, since it is smaller than the sum of its proper divisors (30526624400).

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

10890169200 is a wasteful number, since it uses less digits than its factorization.

10890169200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10890169200 in words is "ten billion, eight hundred ninety million, one hundred sixty-nine thousand, two hundred".