15820800000 has 360 divisors, whose sum is σ = 53242967232. Its totient is φ = 4177920000.

The previous prime is 15820799959. The next prime is 15820800013. The reversal of 15820800000 is 802851.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153599949 + ... + 153600051.

Almost surely, 2^15820800000 is an apocalyptic number.

15820800000 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 15820800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26621483616).

15820800000 is an abundant number, since it is smaller than the sum of its proper divisors (37422167232).

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

15820800000 is an frugal number, since it uses more digits than its factorization.

15820800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 15820800000 in words is "fifteen billion, eight hundred twenty million, eight hundred thousand".