993253144080 has 160 divisors (see below), whose sum is σ = 3137892483456. Its totient is φ = 259811049472.

The previous prime is 993253144021. The next prime is 993253144097. The reversal of 993253144080 is 80441352399.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104846224 + ... + 104855696.

Almost surely, 2^993253144080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993253144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568946241728).

993253144080 is an abundant number, since it is smaller than the sum of its proper divisors (2144639339376).

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

993253144080 is a wasteful number, since it uses less digits than its factorization.

993253144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17785 (or 17779 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 993253144080 in words is "nine hundred ninety-three billion, two hundred fifty-three million, one hundred forty-four thousand, eighty".