10890292140 has 864 divisors, whose sum is σ = 45299689344. Its totient is φ = 2090188800.

The previous prime is 10890292129. The next prime is 10890292151. The reversal of 10890292140 is 4129209801.

It is an interprime number because it is at equal distance from previous prime (10890292129) and next prime (10890292151).

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

It is a junction number, because it is equal to n+sod(n) for n = 10890292095 and 10890292104.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72121065 + ... + 72121215.

It is an arithmetic number, because the mean of its divisors is an integer number (52430196).

Almost surely, 2^10890292140 is an apocalyptic number.

10890292140 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 10890292140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649844672).

10890292140 is an abundant number, since it is smaller than the sum of its proper divisors (34409397204).

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

10890292140 is a wasteful number, since it uses less digits than its factorization.

10890292140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10890292140 in words is "ten billion, eight hundred ninety million, two hundred ninety-two thousand, one hundred forty".