10890681984 has 960 divisors, whose sum is σ = 43433719560. Its totient is φ = 2675441664.

The previous prime is 10890681941. The next prime is 10890682007. The reversal of 10890681984 is 48918609801.

It can be written as a sum of positive squares in 4 ways, for example, as 8693697600 + 2196984384 = 93240^2 + 46872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10890681984.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112275024 + ... + 112275120.

Almost surely, 2^10890681984 is an apocalyptic number.

10890681984 is a gapful number since it is divisible by the number (14) 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 10890681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716859780).

10890681984 is an abundant number, since it is smaller than the sum of its proper divisors (32543037576).

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

10890681984 is a wasteful number, since it uses less digits than its factorization.

10890681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 10890681984 in words is "ten billion, eight hundred ninety million, six hundred eighty-one thousand, nine hundred eighty-four".