15856404480 has 480 divisors, whose sum is σ = 64977232320. Its totient is φ = 3622993920.

The previous prime is 15856404461. The next prime is 15856404481. The reversal of 15856404480 is 8440465851.

It is a happy number.

15856404480 is a `hidden beast` number, since 1 + 5 + 8 + 564 + 0 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (15856404481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5804715 + ... + 5807445.

It is an arithmetic number, because the mean of its divisors is an integer number (135369234).

Almost surely, 2^15856404480 is an apocalyptic number.

15856404480 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 15856404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32488616160).

15856404480 is an abundant number, since it is smaller than the sum of its proper divisors (49120827840).

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

15856404480 is an equidigital number, since it uses as much as digits as its factorization.

15856404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 15856404480 in words is "fifteen billion, eight hundred fifty-six million, four hundred four thousand, four hundred eighty".