15966566400 has 288 divisors, whose sum is σ = 55571443200. Its totient is φ = 4032921600.

The previous prime is 15966566393. The next prime is 15966566411. The reversal of 15966566400 is 466566951.

15966566400 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15966566400.

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 23 ways as a sum of consecutive naturals, for example, 2915665 + ... + 2921135.

It is an arithmetic number, because the mean of its divisors is an integer number (192956400).

Almost surely, 2^15966566400 is an apocalyptic number.

15966566400 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 15966566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27785721600).

15966566400 is an abundant number, since it is smaller than the sum of its proper divisors (39604876800).

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

15966566400 is a wasteful number, since it uses less digits than its factorization.

15966566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 15966566400 in words is "fifteen billion, nine hundred sixty-six million, five hundred sixty-six thousand, four hundred".