15582601152 has 140 divisors (see below), whose sum is σ = 46388670240. Its totient is φ = 5172056064.

The previous prime is 15582601093. The next prime is 15582601187. The reversal of 15582601152 is 25110628551.

15582601152 is a `hidden beast` number, since 1 + 5 + 582 + 60 + 1 + 15 + 2 = 666.

15582601152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1232688 + ... + 1245264.

Almost surely, 2^15582601152 is an apocalyptic number.

15582601152 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 15582601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194335120).

15582601152 is an abundant number, since it is smaller than the sum of its proper divisors (30806069088).

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

15582601152 is a wasteful number, since it uses less digits than its factorization.

15582601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840 (or 12821 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 15582601152 in words is "fifteen billion, five hundred eighty-two million, six hundred one thousand, one hundred fifty-two".