15690516480 has 240 divisors, whose sum is σ = 56242646460. Its totient is φ = 4183916544.

The previous prime is 15690516473. The next prime is 15690516511. The reversal of 15690516480 is 8461509651.

15690516480 is a `hidden beast` number, since 1 + 5 + 6 + 90 + 516 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15551087616 + 139428864 = 124704^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 19 ways as a sum of consecutive naturals, for example, 819982 + ... + 838898.

Almost surely, 2^15690516480 is an apocalyptic number.

15690516480 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 15690516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28121323230).

15690516480 is an abundant number, since it is smaller than the sum of its proper divisors (40552129980).

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

15690516480 is an equidigital number, since it uses as much as digits as its factorization.

15690516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18956 (or 18927 counting only the distinct ones).

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

The spelling of 15690516480 in words is "fifteen billion, six hundred ninety million, five hundred sixteen thousand, four hundred eighty".