102394865664000 has 8640 divisors, whose sum is σ = 534525040707840. Its totient is φ = 19263179980800.

The previous prime is 102394865663963. The next prime is 102394865664011. The reversal of 102394865664000 is 466568493201.

102394865664000 is a `hidden beast` number, since 1 + 0 + 2 + 39 + 4 + 8 + 6 + 566 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5389203455991 + ... + 5389203456009.

It is an arithmetic number, because the mean of its divisors is an integer number (61866324156).

Almost surely, 2^{102394865664000} is an apocalyptic number.

102394865664000 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 102394865664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267262520353920).

102394865664000 is an abundant number, since it is smaller than the sum of its proper divisors (432130175043840).

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

102394865664000 is an equidigital number, since it uses as much as digits as its factorization.

102394865664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 66 counting only the distinct ones).

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

The spelling of 102394865664000 in words is "one hundred two trillion, three hundred ninety-four billion, eight hundred sixty-five million, six hundred sixty-four thousand".