93939056640 has 1260 divisors, whose sum is σ = 400117705932. Its totient is φ = 21021327360.

The previous prime is 93939056581. The next prime is 93939056647. The reversal of 93939056640 is 4665093939.

93939056640 is a `hidden beast` number, since 9 + 3 + 9 + 39 + 0 + 566 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23123460096 + 70815596544 = 152064^2 + 266112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93939056647) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7226081274 + ... + 7226081286.

Almost surely, 2^93939056640 is an apocalyptic number.

93939056640 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 93939056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200058852966).

93939056640 is an abundant number, since it is smaller than the sum of its proper divisors (306178649292).

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

93939056640 is an equidigital number, since it uses as much as digits as its factorization.

93939056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 93939056640 in words is "ninety-three billion, nine hundred thirty-nine million, fifty-six thousand, six hundred forty".