102039880353264 has 240 divisors, whose sum is σ = 338773700428800. Its totient is φ = 28066177866240.

The previous prime is 102039880353251. The next prime is 102039880353289. The reversal of 102039880353264 is 462353088930201.

102039880353264 is a `hidden beast` number, since 1 + 0 + 20 + 3 + 9 + 8 + 8 + 0 + 353 + 264 = 666.

It is a super-2 number, since 2×102039880353264² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102039880353264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14764414 + ... + 20544285.

It is an arithmetic number, because the mean of its divisors is an integer number (1411557085120).

Almost surely, 2^{102039880353264} is an apocalyptic number.

102039880353264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102039880353264 is an abundant number, since it is smaller than the sum of its proper divisors (236733820075536).

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

102039880353264 is a wasteful number, since it uses less digits than its factorization.

102039880353264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35308828 (or 35308819 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 102039880353264 in words is "one hundred two trillion, thirty-nine billion, eight hundred eighty million, three hundred fifty-three thousand, two hundred sixty-four".