15331680000 has 1350 divisors, whose sum is σ = 70696576104. Its totient is φ = 3234816000.

The previous prime is 15331679947. The next prime is 15331680011. The reversal of 15331680000 is 8613351.

15331680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1179359994 + ... + 1179360006.

Almost surely, 2^15331680000 is an apocalyptic number.

15331680000 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 15331680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35348288052).

15331680000 is an abundant number, since it is smaller than the sum of its proper divisors (55364896104).

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

15331680000 is an frugal number, since it uses more digits than its factorization.

15331680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 15331680000 in words is "fifteen billion, three hundred thirty-one million, six hundred eighty thousand".