15799741003200 has 1344 divisors, whose sum is σ = 68852961128448. Its totient is φ = 3070785945600.

The previous prime is 15799741003177. The next prime is 15799741003213. The reversal of 15799741003200 is 230014799751.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15799741003200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1024153887 + ... + 1024169313.

It is an arithmetic number, because the mean of its divisors is an integer number (51229881792).

Almost surely, 2^{15799741003200} is an apocalyptic number.

15799741003200 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 15799741003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34426480564224).

15799741003200 is an abundant number, since it is smaller than the sum of its proper divisors (53053220125248).

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

15799741003200 is a wasteful number, since it uses less digits than its factorization.

15799741003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15650 (or 15635 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 15799741003200 in words is "fifteen trillion, seven hundred ninety-nine billion, seven hundred forty-one million, three thousand, two hundred".