15580038960 has 400 divisors, whose sum is σ = 57635525376. Its totient is φ = 3887087616.

The previous prime is 15580038923. The next prime is 15580038961. The reversal of 15580038960 is 6983008551.

15580038960 is a `hidden beast` number, since 1 + 5 + 580 + 0 + 3 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×15580038960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15580038961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25666977 + ... + 25667583.

Almost surely, 2^15580038960 is an apocalyptic number.

15580038960 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 15580038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28817762688).

15580038960 is an abundant number, since it is smaller than the sum of its proper divisors (42055486416).

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

15580038960 is a wasteful number, since it uses less digits than its factorization.

15580038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 15580038960 in words is "fifteen billion, five hundred eighty million, thirty-eight thousand, nine hundred sixty".