15256866240 has 1792 divisors, whose sum is σ = 75843993600. Its totient is φ = 2786918400.

The previous prime is 15256866193. The next prime is 15256866277. The reversal of 15256866240 is 4266865251.

15256866240 is a `hidden beast` number, since 1 + 5 + 2 + 568 + 66 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 214885405 + ... + 214885475.

Almost surely, 2^15256866240 is an apocalyptic number.

15256866240 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 15256866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37921996800).

15256866240 is an abundant number, since it is smaller than the sum of its proper divisors (60587127360).

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

15256866240 is a wasteful number, since it uses less digits than its factorization.

15256866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 15256866240 in words is "fifteen billion, two hundred fifty-six million, eight hundred sixty-six thousand, two hundred forty".