102533968615680 has 864 divisors, whose sum is σ = 407003846086656. Its totient is φ = 23345915314176.

The previous prime is 102533968615667. The next prime is 102533968615703. The reversal of 102533968615680 is 86516869335201.

It is a happy number.

102533968615680 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 3 + 9 + 6 + 8 + 61 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 26542573429 + ... + 26542577291.

It is an arithmetic number, because the mean of its divisors is an integer number (471069266304).

Almost surely, 2^{102533968615680} is an apocalyptic number.

102533968615680 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 102533968615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203501923043328).

102533968615680 is an abundant number, since it is smaller than the sum of its proper divisors (304469877470976).

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

102533968615680 is a wasteful number, since it uses less digits than its factorization.

102533968615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 102533968615680 in words is "one hundred two trillion, five hundred thirty-three billion, nine hundred sixty-eight million, six hundred fifteen thousand, six hundred eighty".