10164482098680 has 256 divisors, whose sum is σ = 38090553338880. Its totient is φ = 2112585007104.

The previous prime is 10164482098637. The next prime is 10164482098681. The reversal of 10164482098680 is 8689028446101.

It is a happy number.

10164482098680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10164482098680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164482098681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6214729 + ... + 7678008.

It is an arithmetic number, because the mean of its divisors is an integer number (148791223980).

Almost surely, 2^{10164482098680} is an apocalyptic number.

10164482098680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10164482098680 is an abundant number, since it is smaller than the sum of its proper divisors (27926071240200).

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

10164482098680 is a wasteful number, since it uses less digits than its factorization.

10164482098680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13892838 (or 13892834 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 10164482098680 in words is "ten trillion, one hundred sixty-four billion, four hundred eighty-two million, ninety-eight thousand, six hundred eighty".