13159972800 has 840 divisors, whose sum is σ = 53300869776. Its totient is φ = 3165143040.

The previous prime is 13159972783. The next prime is 13159972823. The reversal of 13159972800 is 827995131.

13159972800 is a `hidden beast` number, since 1 + 31 + 599 + 7 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122990347 + ... + 122990453.

Almost surely, 2^13159972800 is an apocalyptic number.

13159972800 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 13159972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650434888).

13159972800 is an abundant number, since it is smaller than the sum of its proper divisors (40140896976).

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

13159972800 is a wasteful number, since it uses less digits than its factorization.

13159972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 13159972800 in words is "thirteen billion, one hundred fifty-nine million, nine hundred seventy-two thousand, eight hundred".