15061165056 has 352 divisors, whose sum is σ = 51879168000. Its totient is φ = 4227047424.

The previous prime is 15061165033. The next prime is 15061165057. The reversal of 15061165056 is 65056116051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15061165056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15061165057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11417965 + ... + 11419283.

It is an arithmetic number, because the mean of its divisors is an integer number (147384000).

Almost surely, 2^15061165056 is an apocalyptic number.

15061165056 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 15061165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939584000).

15061165056 is an abundant number, since it is smaller than the sum of its proper divisors (36818002944).

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

15061165056 is a wasteful number, since it uses less digits than its factorization.

15061165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 15061165056 in words is "fifteen billion, sixty-one million, one hundred sixty-five thousand, fifty-six".