993810874560 has 112 divisors (see below), whose sum is σ = 3606113769216. Its totient is φ = 227156769792.

The previous prime is 993810874513. The next prime is 993810874571. The reversal of 993810874560 is 65478018399.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 993810874494 and 993810874503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73937542 + ... + 73950981.

It is an arithmetic number, because the mean of its divisors is an integer number (32197444368).

Almost surely, 2^993810874560 is an apocalyptic number.

It is an amenable number.

993810874560 is an abundant number, since it is smaller than the sum of its proper divisors (2612302894656).

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

993810874560 is a wasteful number, since it uses less digits than its factorization.

993810874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147888550 (or 147888540 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 993810874560 in words is "nine hundred ninety-three billion, eight hundred ten million, eight hundred seventy-four thousand, five hundred sixty".