15106400256 has 168 divisors, whose sum is σ = 41491585800. Its totient is φ = 4888461312.

The previous prime is 15106400233. The next prime is 15106400269. The reversal of 15106400256 is 65200460151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33644320 + ... + 33644768.

It is an arithmetic number, because the mean of its divisors is an integer number (246973725).

Almost surely, 2^15106400256 is an apocalyptic number.

15106400256 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 15106400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20745792900).

15106400256 is an abundant number, since it is smaller than the sum of its proper divisors (26385185544).

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

15106400256 is an frugal number, since it uses more digits than its factorization.

15106400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 15106400256 in words is "fifteen billion, one hundred six million, four hundred thousand, two hundred fifty-six".