93505850268768 has 768 divisors, whose sum is σ = 330889985556480. Its totient is φ = 25112137881600.

The previous prime is 93505850268767. The next prime is 93505850268793. The reversal of 93505850268768 is 86786205850539.

93505850268768 is a `hidden beast` number, since 9 + 3 + 5 + 0 + 58 + 502 + 6 + 8 + 7 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 93505850268696 and 93505850268705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93505850268767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3923694613 + ... + 3923718443.

It is an arithmetic number, because the mean of its divisors is an integer number (430846335360).

Almost surely, 2^{93505850268768} 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 93505850268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165444992778240).

93505850268768 is an abundant number, since it is smaller than the sum of its proper divisors (237384135287712).

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

93505850268768 is a wasteful number, since it uses less digits than its factorization.

93505850268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24368 (or 24354 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 93505850268768 in words is "ninety-three trillion, five hundred five billion, eight hundred fifty million, two hundred sixty-eight thousand, seven hundred sixty-eight".