102533789875968 has 432 divisors, whose sum is σ = 335526419434752. Its totient is φ = 30970874880000.

The previous prime is 102533789875963. The next prime is 102533789875991. The reversal of 102533789875968 is 869578987335201.

102533789875968 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 378 + 98 + 75 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102533789875963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212572668 + ... + 213054468.

Almost surely, 2^{102533789875968} is an apocalyptic number.

102533789875968 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 102533789875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167763209717376).

102533789875968 is an abundant number, since it is smaller than the sum of its proper divisors (232992629558784).

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

102533789875968 is an equidigital number, since it uses as much as digits as its factorization.

102533789875968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482154 (or 482128 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 102533789875968 in words is "one hundred two trillion, five hundred thirty-three billion, seven hundred eighty-nine million, eight hundred seventy-five thousand, nine hundred sixty-eight".