10116013968 has 160 divisors (see below), whose sum is σ = 29835590400. Its totient is φ = 3279744000.

The previous prime is 10116013967. The next prime is 10116013979. The reversal of 10116013968 is 86931061101.

It is a happy number.

10116013968 is a `hidden beast` number, since 1 + 0 + 11 + 601 + 39 + 6 + 8 = 666.

It is a super-2 number, since 2×10116013968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10116013967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7774918 + ... + 7776218.

It is an arithmetic number, because the mean of its divisors is an integer number (186472440).

Almost surely, 2^10116013968 is an apocalyptic number.

10116013968 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 10116013968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917795200).

10116013968 is an abundant number, since it is smaller than the sum of its proper divisors (19719576432).

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

10116013968 is a wasteful number, since it uses less digits than its factorization.

10116013968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10116013968 in words is "ten billion, one hundred sixteen million, thirteen thousand, nine hundred sixty-eight".