983961820800 has 1152 divisors, whose sum is σ = 4263645859200. Its totient is φ = 219370291200.

The previous prime is 983961820789. The next prime is 983961820801. The reversal of 983961820800 is 8028169389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (983961820801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223168996 + ... + 223173404.

It is an arithmetic number, because the mean of its divisors is an integer number (3701081475).

Almost surely, 2^983961820800 is an apocalyptic number.

983961820800 is a gapful number since it is divisible by the number (90) 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 983961820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131822929600).

983961820800 is an abundant number, since it is smaller than the sum of its proper divisors (3279684038400).

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

983961820800 is a wasteful number, since it uses less digits than its factorization.

983961820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 983961820800 in words is "nine hundred eighty-three billion, nine hundred sixty-one million, eight hundred twenty thousand, eight hundred".