10111974720 has 224 divisors, whose sum is σ = 32764293120. Its totient is φ = 2641766400.

The previous prime is 10111974703. The next prime is 10111974751. The reversal of 10111974720 is 2747911101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11451399 + ... + 11452281.

Almost surely, 2^10111974720 is an apocalyptic number.

10111974720 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 10111974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382146560).

10111974720 is an abundant number, since it is smaller than the sum of its proper divisors (22652318400).

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

10111974720 is a wasteful number, since it uses less digits than its factorization.

10111974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The spelling of 10111974720 in words is "ten billion, one hundred eleven million, nine hundred seventy-four thousand, seven hundred twenty".