15238808640 has 1120 divisors, whose sum is σ = 65057731200. Its totient is φ = 3344302080.

The previous prime is 15238808639. The next prime is 15238808647. The reversal of 15238808640 is 4680883251.

15238808640 is a `hidden beast` number, since 1 + 523 + 8 + 8 + 0 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15238808647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157101072 + ... + 157101168.

It is an arithmetic number, because the mean of its divisors is an integer number (58087260).

Almost surely, 2^15238808640 is an apocalyptic number.

15238808640 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 15238808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32528865600).

15238808640 is an abundant number, since it is smaller than the sum of its proper divisors (49818922560).

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

15238808640 is a wasteful number, since it uses less digits than its factorization.

15238808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 15238808640 in words is "fifteen billion, two hundred thirty-eight million, eight hundred eight thousand, six hundred forty".