10116031680 has 672 divisors, whose sum is σ = 39142172160. Its totient is φ = 2478366720.

The previous prime is 10116031609. The next prime is 10116031703. The reversal of 10116031680 is 8613061101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60574957 + ... + 60575123.

It is an arithmetic number, because the mean of its divisors is an integer number (58247280).

Almost surely, 2^10116031680 is an apocalyptic number.

10116031680 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 10116031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571086080).

10116031680 is an abundant number, since it is smaller than the sum of its proper divisors (29026140480).

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

10116031680 is a wasteful number, since it uses less digits than its factorization.

10116031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 10116031680 its reverse (8613061101), we get a palindrome (18729092781).

The spelling of 10116031680 in words is "ten billion, one hundred sixteen million, thirty-one thousand, six hundred eighty".