15216256000 has 352 divisors, whose sum is σ = 42213135744. Its totient is φ = 5427200000.

The previous prime is 15216255997. The next prime is 15216256009. The reversal of 15216256000 is 65261251.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 15216256000.

It is not an unprimeable number, because it can be changed into a prime (15216256009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142207947 + ... + 142208053.

Almost surely, 2^15216256000 is an apocalyptic number.

15216256000 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 15216256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21106567872).

15216256000 is an abundant number, since it is smaller than the sum of its proper divisors (26996879744).

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

15216256000 is a wasteful number, since it uses less digits than its factorization.

15216256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 15216 and 256000, that added together give a triangular number (271216 = T₇₃₆).

The spelling of 15216256000 in words is "fifteen billion, two hundred sixteen million, two hundred fifty-six thousand".