15285609040 has 120 divisors (see below), whose sum is σ = 39188507400. Its totient is φ = 5511969792.

The previous prime is 15285609037. The next prime is 15285609047. The reversal of 15285609040 is 4090658251.

15285609040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 203804176 + 15081804864 = 14276^2 + 122808^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15285608984 and 15285609002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15285609047) 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 23 ways as a sum of consecutive naturals, for example, 1918986 + ... + 1926934.

It is an arithmetic number, because the mean of its divisors is an integer number (326570895).

Almost surely, 2^15285609040 is an apocalyptic number.

15285609040 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 15285609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19594253700).

15285609040 is an abundant number, since it is smaller than the sum of its proper divisors (23902898360).

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

15285609040 is a wasteful number, since it uses less digits than its factorization.

15285609040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

It can be divided in two parts, 1528560 and 9040, that added together give a square (1537600 = 1240²).

The spelling of 15285609040 in words is "fifteen billion, two hundred eighty-five million, six hundred nine thousand, forty".