15256362085120 has 288 divisors, whose sum is σ = 40867075738944. Its totient is φ = 5420423577600.

The previous prime is 15256362085049. The next prime is 15256362085123. The reversal of 15256362085120 is 2158026365251.

It is not an unprimeable number, because it can be changed into a prime (15256362085123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49650355 + ... + 49956685.

It is an arithmetic number, because the mean of its divisors is an integer number (141899568538).

Almost surely, 2^{15256362085120} is an apocalyptic number.

15256362085120 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 15256362085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20433537869472).

15256362085120 is an abundant number, since it is smaller than the sum of its proper divisors (25610713653824).

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

15256362085120 is a wasteful number, since it uses less digits than its factorization.

15256362085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306479 (or 306465 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 15256362085120 in words is "fifteen trillion, two hundred fifty-six billion, three hundred sixty-two million, eighty-five thousand, one hundred twenty".