1993133009280 has 256 divisors, whose sum is σ = 7269847925760. Its totient is φ = 454999203840.

The previous prime is 1993133009279. The next prime is 1993133009317. The reversal of 1993133009280 is 829003313991.

It is a super-2 number, since 2×1993133009280² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 10618645 + ... + 10804715.

It is an arithmetic number, because the mean of its divisors is an integer number (28397843460).

Almost surely, 2^{1993133009280} is an apocalyptic number.

1993133009280 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 1993133009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634923962880).

1993133009280 is an abundant number, since it is smaller than the sum of its proper divisors (5276714916480).

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

1993133009280 is a wasteful number, since it uses less digits than its factorization.

1993133009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186897 (or 186885 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 1993133009280 in words is "one trillion, nine hundred ninety-three billion, one hundred thirty-three million, nine thousand, two hundred eighty".