15252127968 has 384 divisors, whose sum is σ = 52115374080. Its totient is φ = 3790080000.

The previous prime is 15252127951. The next prime is 15252127973. The reversal of 15252127968 is 86972125251.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23144023 + ... + 23144681.

It is an arithmetic number, because the mean of its divisors is an integer number (135717120).

Almost surely, 2^15252127968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15252127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26057687040).

15252127968 is an abundant number, since it is smaller than the sum of its proper divisors (36863246112).

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

15252127968 is a wasteful number, since it uses less digits than its factorization.

15252127968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The spelling of 15252127968 in words is "fifteen billion, two hundred fifty-two million, one hundred twenty-seven thousand, nine hundred sixty-eight".