993955092480 has 1152 divisors, whose sum is σ = 4198427251200. Its totient is φ = 212421574656.

The previous prime is 993955092463. The next prime is 993955092511. The reversal of 993955092480 is 84290559399.

993955092480 is a `hidden beast` number, since 9 + 9 + 39 + 550 + 9 + 2 + 48 + 0 = 666.

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 (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1017353752 + ... + 1017354728.

It is an arithmetic number, because the mean of its divisors is an integer number (3644468100).

Almost surely, 2^993955092480 is an apocalyptic number.

993955092480 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 993955092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099213625600).

993955092480 is an abundant number, since it is smaller than the sum of its proper divisors (3204472158720).

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

993955092480 is a wasteful number, since it uses less digits than its factorization.

993955092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 993955092480 in words is "nine hundred ninety-three billion, nine hundred fifty-five million, ninety-two thousand, four hundred eighty".