15085384120 has 32 divisors (see below), whose sum is σ = 34271658720. Its totient is φ = 5975568000.

The previous prime is 15085384079. The next prime is 15085384123. The reversal of 15085384120 is 2148358051.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 15085384120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15085384123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1826631 + ... + 1834870.

It is an arithmetic number, because the mean of its divisors is an integer number (1070989335).

Almost surely, 2^15085384120 is an apocalyptic number.

15085384120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15085384120 is an abundant number, since it is smaller than the sum of its proper divisors (19186274600).

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

15085384120 is a wasteful number, since it uses less digits than its factorization.

15085384120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661615 (or 3661611 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 15085384120 in words is "fifteen billion, eighty-five million, three hundred eighty-four thousand, one hundred twenty".