15825132960 has 864 divisors, whose sum is σ = 65942190720. Its totient is φ = 3119800320.

The previous prime is 15825132893. The next prime is 15825132977. The reversal of 15825132960 is 6923152851.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 510488145 + ... + 510488175.

It is an arithmetic number, because the mean of its divisors is an integer number (76321980).

Almost surely, 2^15825132960 is an apocalyptic number.

15825132960 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 15825132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32971095360).

15825132960 is an abundant number, since it is smaller than the sum of its proper divisors (50117057760).

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

15825132960 is a wasteful number, since it uses less digits than its factorization.

15825132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

It can be divided in two parts, 15825 and 132960, that added together give a triangular number (148785 = T₅₄₅).

The spelling of 15825132960 in words is "fifteen billion, eight hundred twenty-five million, one hundred thirty-two thousand, nine hundred sixty".