102836794368000 has 1792 divisors, whose sum is σ = 433719186481152. Its totient is φ = 21015429120000.

The previous prime is 102836794367963. The next prime is 102836794368001. The reversal of 102836794368000 is 863497638201.

It is a tau number, because it is divible by the number of its divisors (1792).

It is not an unprimeable number, because it can be changed into a prime (102836794368001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14429180437 + ... + 14429187563.

Almost surely, 2^{102836794368000} is an apocalyptic number.

102836794368000 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 102836794368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216859593240576).

102836794368000 is an abundant number, since it is smaller than the sum of its proper divisors (330882392113152).

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

102836794368000 is an equidigital number, since it uses as much as digits as its factorization.

102836794368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 102836794368000 in words is "one hundred two trillion, eight hundred thirty-six billion, seven hundred ninety-four million, three hundred sixty-eight thousand".