15216768000 has 1408 divisors, whose sum is σ = 69895388160. Its totient is φ = 3185049600.

The previous prime is 15216767977. The next prime is 15216768011. The reversal of 15216768000 is 86761251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411263982 + ... + 411264018.

Almost surely, 2^15216768000 is an apocalyptic number.

15216768000 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 15216768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34947694080).

15216768000 is an abundant number, since it is smaller than the sum of its proper divisors (54678620160).

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

15216768000 is a wasteful number, since it uses less digits than its factorization.

15216768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 15216768000 in words is "fifteen billion, two hundred sixteen million, seven hundred sixty-eight thousand".