10891724940 has 120 divisors (see below), whose sum is σ = 34221659472. Its totient is φ = 2899877760.

The previous prime is 10891724933. The next prime is 10891724941. The reversal of 10891724940 is 4942719801.

It is a happy number.

10891724940 is a `hidden beast` number, since 1 + 0 + 8 + 91 + 72 + 494 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10891724941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1091775 + ... + 1101705.

Almost surely, 2^10891724940 is an apocalyptic number.

10891724940 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 10891724940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110829736).

10891724940 is an abundant number, since it is smaller than the sum of its proper divisors (23329934532).

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

10891724940 is a wasteful number, since it uses less digits than its factorization.

10891724940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10891724940 in words is "ten billion, eight hundred ninety-one million, seven hundred twenty-four thousand, nine hundred forty".