10890770670 has 96 divisors (see below), whose sum is σ = 30675153600. Its totient is φ = 2680756416.

The previous prime is 10890770669. The next prime is 10890770701. The reversal of 10890770670 is 7607709801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170191 + ... + 225269.

It is an arithmetic number, because the mean of its divisors is an integer number (319532850).

Almost surely, 2^10890770670 is an apocalyptic number.

10890770670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890770670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337576800).

10890770670 is an abundant number, since it is smaller than the sum of its proper divisors (19784382930).

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

10890770670 is a wasteful number, since it uses less digits than its factorization.

10890770670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55131 (or 55102 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 10890770670 in words is "ten billion, eight hundred ninety million, seven hundred seventy thousand, six hundred seventy".