15256581120 has 704 divisors, whose sum is σ = 60368486400. Its totient is φ = 3622993920.

The previous prime is 15256581103. The next prime is 15256581121. The reversal of 15256581120 is 2118565251.

15256581120 is a `hidden beast` number, since 1 + 5 + 2 + 56 + 581 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×15256581120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15256581121) 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, 120130497 + ... + 120130623.

Almost surely, 2^15256581120 is an apocalyptic number.

15256581120 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 15256581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30184243200).

15256581120 is an abundant number, since it is smaller than the sum of its proper divisors (45111905280).

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

15256581120 is a wasteful number, since it uses less digits than its factorization.

15256581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 15256581120 in words is "fifteen billion, two hundred fifty-six million, five hundred eighty-one thousand, one hundred twenty".