93771988992 has 408 divisors, whose sum is σ = 300572017200. Its totient is φ = 27934064640.

The previous prime is 93771988991. The next prime is 93771989021. The reversal of 93771988992 is 29988917739.

93771988992 is a `hidden beast` number, since 9 + 377 + 1 + 98 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 93771988992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93771988991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629342134 + ... + 629342282.

Almost surely, 2^93771988992 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 93771988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150286008600).

93771988992 is an abundant number, since it is smaller than the sum of its proper divisors (206800028208).

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

93771988992 is a wasteful number, since it uses less digits than its factorization.

93771988992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 72.

The spelling of 93771988992 in words is "ninety-three billion, seven hundred seventy-one million, nine hundred eighty-eight thousand, nine hundred ninety-two".