993085270800 has 240 divisors, whose sum is σ = 3636345151872. Its totient is φ = 226946764800.

The previous prime is 993085270799. The next prime is 993085270819. The reversal of 993085270800 is 8072580399.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65151180 + ... + 65166420.

Almost surely, 2^993085270800 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 993085270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818172575936).

993085270800 is an abundant number, since it is smaller than the sum of its proper divisors (2643259881072).

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

993085270800 is a wasteful number, since it uses less digits than its factorization.

993085270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23026 (or 23015 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 993085270800 in words is "nine hundred ninety-three billion, eighty-five million, two hundred seventy thousand, eight hundred".