15096799790800 has 480 divisors, whose sum is σ = 46631152415232. Its totient is φ = 4565228912640.

The previous prime is 15096799790797. The next prime is 15096799790819. The reversal of 15096799790800 is 809799769051.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 15096799790800.

It is a congruent number.

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, 817935172 + ... + 817953628.

Almost surely, 2^{15096799790800} is an apocalyptic number.

15096799790800 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 15096799790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315576207616).

15096799790800 is an abundant number, since it is smaller than the sum of its proper divisors (31534352624432).

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

15096799790800 is a wasteful number, since it uses less digits than its factorization.

15096799790800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19484 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 70.

The spelling of 15096799790800 in words is "fifteen trillion, ninety-six billion, seven hundred ninety-nine million, seven hundred ninety thousand, eight hundred".