93945975552 has 576 divisors, whose sum is σ = 345644651520. Its totient is φ = 24728371200.

The previous prime is 93945975523. The next prime is 93945975587. The reversal of 93945975552 is 25557954939.

93945975552 is a `hidden beast` number, since 9 + 3 + 9 + 4 + 5 + 9 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 93945975552.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16800277 + ... + 16805867.

It is an arithmetic number, because the mean of its divisors is an integer number (600077520).

Almost surely, 2^93945975552 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 93945975552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172822325760).

93945975552 is an abundant number, since it is smaller than the sum of its proper divisors (251698675968).

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

93945975552 is a wasteful number, since it uses less digits than its factorization.

93945975552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5637 counting only the distinct ones).

The product of its digits is 76545000, while the sum is 63.

The spelling of 93945975552 in words is "ninety-three billion, nine hundred forty-five million, nine hundred seventy-five thousand, five hundred fifty-two".