15256406160 has 320 divisors, whose sum is σ = 54324380160. Its totient is φ = 3933296640.

The previous prime is 15256406129. The next prime is 15256406167. The reversal of 15256406160 is 6160465251.

15256406160 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 640 + 6 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (15256406167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8127142 + ... + 8129018.

It is an arithmetic number, because the mean of its divisors is an integer number (169763688).

Almost surely, 2^15256406160 is an apocalyptic number.

15256406160 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 15256406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27162190080).

15256406160 is an abundant number, since it is smaller than the sum of its proper divisors (39067974000).

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

15256406160 is a wasteful number, since it uses less digits than its factorization.

15256406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 15256406160 in words is "fifteen billion, two hundred fifty-six million, four hundred six thousand, one hundred sixty".