1983625718400 has 2304 divisors, whose sum is σ = 8220673843200. Its totient is φ = 470292480000.

The previous prime is 1983625718387. The next prime is 1983625718401. The reversal of 1983625718400 is 48175263891.

1983625718400 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 62 + 571 + 8 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1983625718401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27938390365 + ... + 27938390435.

It is an arithmetic number, because the mean of its divisors is an integer number (3568000800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1983625718400 = 3967251436800, but 3⋅1983625718400 = 5950877155200 is not.

Almost surely, 2^{1983625718400} is an apocalyptic number.

1983625718400 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 1983625718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110336921600).

1983625718400 is an abundant number, since it is smaller than the sum of its proper divisors (6237048124800).

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

1983625718400 is a wasteful number, since it uses less digits than its factorization.

1983625718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1983625718400 in words is "one trillion, nine hundred eighty-three billion, six hundred twenty-five million, seven hundred eighteen thousand, four hundred".