15776480400 has 120 divisors (see below), whose sum is σ = 50613948000. Its totient is φ = 4200683520.

The previous prime is 15776480389. The next prime is 15776480543. The reversal of 15776480400 is 408467751.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809976 + ... + 829224.

It is an arithmetic number, because the mean of its divisors is an integer number (421782900).

Almost surely, 2^15776480400 is an apocalyptic number.

15776480400 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 15776480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25306974000).

15776480400 is an abundant number, since it is smaller than the sum of its proper divisors (34837467600).

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

15776480400 is a wasteful number, since it uses less digits than its factorization.

15776480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19953 (or 19942 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 15776480400 in words is "fifteen billion, seven hundred seventy-six million, four hundred eighty thousand, four hundred".