15255205504 has 128 divisors (see below), whose sum is σ = 37983559680. Its totient is φ = 5928975360.

The previous prime is 15255205463. The next prime is 15255205513. The reversal of 15255205504 is 40550255251.

15255205504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 15255205504.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4561657 + ... + 4564999.

It is an arithmetic number, because the mean of its divisors is an integer number (296746560).

Almost surely, 2^15255205504 is an apocalyptic number.

15255205504 is a gapful number since it is divisible by the number (14) 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 15255205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991779840).

15255205504 is an abundant number, since it is smaller than the sum of its proper divisors (22728354176).

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

15255205504 is a wasteful number, since it uses less digits than its factorization.

15255205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 34.

The spelling of 15255205504 in words is "fifteen billion, two hundred fifty-five million, two hundred five thousand, five hundred four".