15879536640 has 576 divisors, whose sum is σ = 61187408100. Its totient is φ = 3806330880.

The previous prime is 15879536609. The next prime is 15879536683. The reversal of 15879536640 is 4663597851.

15879536640 is a `hidden beast` number, since 1 + 587 + 9 + 53 + 6 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15005270016 + 874266624 = 122496^2 + 29568^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×15879536640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 178421716 + ... + 178421804.

Almost surely, 2^15879536640 is an apocalyptic number.

15879536640 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 15879536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30593704050).

15879536640 is an abundant number, since it is smaller than the sum of its proper divisors (45307871460).

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

15879536640 is an equidigital number, since it uses as much as digits as its factorization.

15879536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 15879536640 in words is "fifteen billion, eight hundred seventy-nine million, five hundred thirty-six thousand, six hundred forty".