93942536057856 has 308 divisors, whose sum is σ = 293803039811232. Its totient is φ = 29952687181824.

The previous prime is 93942536057723. The next prime is 93942536057869. The reversal of 93942536057856 is 65875063524939.

93942536057856 is a `hidden beast` number, since 9 + 3 + 9 + 4 + 2 + 5 + 3 + 605 + 7 + 8 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14433655 + ... + 19905161.

Almost surely, 2^{93942536057856} is an apocalyptic number.

93942536057856 is a gapful number since it is divisible by the number (96) 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 93942536057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146901519905616).

93942536057856 is an abundant number, since it is smaller than the sum of its proper divisors (199860503753376).

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

93942536057856 is an equidigital number, since it uses as much as digits as its factorization.

93942536057856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471568 (or 5471535 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 93942536057856 in words is "ninety-three trillion, nine hundred forty-two billion, five hundred thirty-six million, fifty-seven thousand, eight hundred fifty-six".