1983645027504 has 300 divisors, whose sum is σ = 6609550016784. Its totient is φ = 562628623104.

The previous prime is 1983645027451. The next prime is 1983645027607. The reversal of 1983645027504 is 4057205463891.

It is a happy number.

1983645027504 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 64 + 50 + 27 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 175274454 + ... + 175285770.

It is a 1-persistent number, because it is pandigital, but 2⋅1983645027504 = 3967290055008 is not.

Almost surely, 2^{1983645027504} is an apocalyptic number.

1983645027504 is a gapful number since it is divisible by the number (14) 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 1983645027504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304775008392).

1983645027504 is an abundant number, since it is smaller than the sum of its proper divisors (4625904989280).

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

1983645027504 is a wasteful number, since it uses less digits than its factorization.

1983645027504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11622 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1983645027504 in words is "one trillion, nine hundred eighty-three billion, six hundred forty-five million, twenty-seven thousand, five hundred four".