15205080240 has 400 divisors, whose sum is σ = 61594420800. Its totient is φ = 3474938880.

The previous prime is 15205080221. The next prime is 15205080257. The reversal of 15205080240 is 4208050251.

It is a happy number.

15205080240 is a `hidden beast` number, since 152 + 0 + 508 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2219220 + ... + 2226060.

It is an arithmetic number, because the mean of its divisors is an integer number (153986052).

Almost surely, 2^15205080240 is an apocalyptic number.

15205080240 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 15205080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30797210400).

15205080240 is an abundant number, since it is smaller than the sum of its proper divisors (46389340560).

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

15205080240 is an equidigital number, since it uses as much as digits as its factorization.

15205080240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 15205080240 in words is "fifteen billion, two hundred five million, eighty thousand, two hundred forty".