15384601056 has 192 divisors, whose sum is σ = 44719153920. Its totient is φ = 4592394240.

The previous prime is 15384601051. The next prime is 15384601081. The reversal of 15384601056 is 65010648351.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15384601051) 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, 27325831 + ... + 27326393.

It is an arithmetic number, because the mean of its divisors is an integer number (232912260).

Almost surely, 2^15384601056 is an apocalyptic number.

15384601056 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 15384601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22359576960).

15384601056 is an abundant number, since it is smaller than the sum of its proper divisors (29334552864).

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

15384601056 is a wasteful number, since it uses less digits than its factorization.

15384601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 15384601056 in words is "fifteen billion, three hundred eighty-four million, six hundred one thousand, fifty-six".