15232080864 has 576 divisors, whose sum is σ = 54985029120. Its totient is φ = 3584655360.

The previous prime is 15232080859. The next prime is 15232080889. The reversal of 15232080864 is 46808023251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111183004 + ... + 111183140.

It is an arithmetic number, because the mean of its divisors is an integer number (95460120).

Almost surely, 2^15232080864 is an apocalyptic number.

15232080864 is a gapful number since it is divisible by the number (14) 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 15232080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27492514560).

15232080864 is an abundant number, since it is smaller than the sum of its proper divisors (39752948256).

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

15232080864 is a wasteful number, since it uses less digits than its factorization.

15232080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 15232080864 in words is "fifteen billion, two hundred thirty-two million, eighty thousand, eight hundred sixty-four".