15288238080 has 322 divisors, whose sum is σ = 55012484706. Its totient is φ = 4076863488.

The previous prime is 15288238027. The next prime is 15288238099. The reversal of 15288238080 is 8083288251.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)⁴ ⋅ (2!)⁶.

It can be written as a sum of positive squares in only one way, i.e., 12230590464 + 3057647616 = 110592^2 + 55296^2 .

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 13 ways as a sum of consecutive naturals, for example, 3057647614 + ... + 3057647618.

Almost surely, 2^15288238080 is an apocalyptic number.

15288238080 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 15288238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506242353).

15288238080 is an abundant number, since it is smaller than the sum of its proper divisors (39724246626).

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

15288238080 is an frugal number, since it uses more digits than its factorization.

15288238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

Multiplying 15288238080 by its sum of digits (45), we get a square (687970713600 = 829440²).

15288238080 divided by its sum of digits (45) gives a square (339738624 = 18432²).

The spelling of 15288238080 in words is "fifteen billion, two hundred eighty-eight million, two hundred thirty-eight thousand, eighty".