993281168880 has 1200 divisors, whose sum is σ = 4667341812672. Its totient is φ = 190505779200.

The previous prime is 993281168863. The next prime is 993281168897. The reversal of 993281168880 is 88861182399.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (993281168863) and next prime (993281168897).

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 239 ways as a sum of consecutive naturals, for example, 71344320 + ... + 71358240.

Almost surely, 2^993281168880 is an apocalyptic number.

993281168880 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 993281168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333670906336).

993281168880 is an abundant number, since it is smaller than the sum of its proper divisors (3674060643792).

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

993281168880 is a wasteful number, since it uses less digits than its factorization.

993281168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13962 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 993281168880 in words is "nine hundred ninety-three billion, two hundred eighty-one million, one hundred sixty-eight thousand, eight hundred eighty".