1983566138400 has 648 divisors, whose sum is σ = 8876218229424. Its totient is φ = 412168780800.

The previous prime is 1983566138399. The next prime is 1983566138401. The reversal of 1983566138400 is 48316653891.

1983566138400 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 566 + 1 + 38 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1983566138399) and next prime (1983566138401).

It is not an unprimeable number, because it can be changed into a prime (1983566138401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3625239 + ... + 4136361.

It is an arithmetic number, because the mean of its divisors is an integer number (13697867638).

Almost surely, 2^{1983566138400} is an apocalyptic number.

1983566138400 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 1983566138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438109114712).

1983566138400 is an abundant number, since it is smaller than the sum of its proper divisors (6892652091024).

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

1983566138400 is a wasteful number, since it uses less digits than its factorization.

1983566138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511174 (or 511151 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1983566138400 in words is "one trillion, nine hundred eighty-three billion, five hundred sixty-six million, one hundred thirty-eight thousand, four hundred".