1566163295400 has 384 divisors, whose sum is σ = 5435812800000. Its totient is φ = 369806515200.

The previous prime is 1566163295377. The next prime is 1566163295419. The reversal of 1566163295400 is 45923616651.

It is a super-2 number, since 2×1566163295400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1566163295400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42426151 + ... + 42463049.

It is an arithmetic number, because the mean of its divisors is an integer number (14155762500).

Almost surely, 2^{1566163295400} is an apocalyptic number.

1566163295400 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 1566163295400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717906400000).

1566163295400 is an abundant number, since it is smaller than the sum of its proper divisors (3869649504600).

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

1566163295400 is a wasteful number, since it uses less digits than its factorization.

1566163295400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37097 (or 37088 counting only the distinct ones).

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

The spelling of 1566163295400 in words is "one trillion, five hundred sixty-six billion, one hundred sixty-three million, two hundred ninety-five thousand, four hundred".