15287717952 has 448 divisors, whose sum is σ = 51752601600. Its totient is φ = 4389396480.

The previous prime is 15287717911. The next prime is 15287717969. The reversal of 15287717952 is 25971778251.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20194758 + ... + 20195514.

It is an arithmetic number, because the mean of its divisors is an integer number (115519200).

Almost surely, 2^15287717952 is an apocalyptic number.

15287717952 is a gapful number since it is divisible by the number (12) 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 15287717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25876300800).

15287717952 is an abundant number, since it is smaller than the sum of its proper divisors (36464883648).

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

15287717952 is a wasteful number, since it uses less digits than its factorization.

15287717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 835 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 54.

The spelling of 15287717952 in words is "fifteen billion, two hundred eighty-seven million, seven hundred seventeen thousand, nine hundred fifty-two".