10111747968 has 512 divisors, whose sum is σ = 37718784000. Its totient is φ = 2598469632.

The previous prime is 10111747939. The next prime is 10111748027. The reversal of 10111747968 is 86974711101.

10111747968 is a `hidden beast` number, since 1 + 0 + 1 + 117 + 479 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9458538 + ... + 9459606.

It is an arithmetic number, because the mean of its divisors is an integer number (73669500).

Almost surely, 2^10111747968 is an apocalyptic number.

10111747968 is a gapful number since it is divisible by the number (18) 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 10111747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859392000).

10111747968 is an abundant number, since it is smaller than the sum of its proper divisors (27607036032).

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

10111747968 is a wasteful number, since it uses less digits than its factorization.

10111747968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 10111747968 in words is "ten billion, one hundred eleven million, seven hundred forty-seven thousand, nine hundred sixty-eight".