15472256256 has 288 divisors, whose sum is σ = 47535264000. Its totient is φ = 4960051200.

The previous prime is 15472256231. The next prime is 15472256269. The reversal of 15472256256 is 65265227451.

15472256256 is a `hidden beast` number, since 1 + 547 + 2 + 2 + 56 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×15472256256² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25829845 + ... + 25830443.

It is an arithmetic number, because the mean of its divisors is an integer number (165053000).

Almost surely, 2^15472256256 is an apocalyptic number.

15472256256 is a gapful number since it is divisible by the number (16) 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 15472256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767632000).

15472256256 is an abundant number, since it is smaller than the sum of its proper divisors (32063007744).

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

15472256256 is a wasteful number, since it uses less digits than its factorization.

15472256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 15472256256 in words is "fifteen billion, four hundred seventy-two million, two hundred fifty-six thousand, two hundred fifty-six".