993873888000 has 2592 divisors, whose sum is σ = 4610161221120. Its totient is φ = 208272384000.

The previous prime is 993873887983. The next prime is 993873888023. The reversal of 993873888000 is 888378399.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32060447985 + ... + 32060448015.

Almost surely, 2^993873888000 is an apocalyptic number.

993873888000 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 993873888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305080610560).

993873888000 is an abundant number, since it is smaller than the sum of its proper divisors (3616287333120).

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

993873888000 is an equidigital number, since it uses as much as digits as its factorization.

993873888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 993873888000 in words is "nine hundred ninety-three billion, eight hundred seventy-three million, eight hundred eighty-eight thousand".