93255664320 has 1344 divisors, whose sum is σ = 414853770240. Its totient is φ = 18704203776.

The previous prime is 93255664291. The next prime is 93255664349. The reversal of 93255664320 is 2346655239.

93255664320 is a `hidden beast` number, since 9 + 3 + 2 + 556 + 64 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (93255664291) and next prime (93255664349).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 572120559 + ... + 572120721.

It is an arithmetic number, because the mean of its divisors is an integer number (308670960).

Almost surely, 2^93255664320 is an apocalyptic number.

93255664320 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 93255664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207426885120).

93255664320 is an abundant number, since it is smaller than the sum of its proper divisors (321598105920).

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

93255664320 is a wasteful number, since it uses less digits than its factorization.

93255664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 93255664320 in words is "ninety-three billion, two hundred fifty-five million, six hundred sixty-four thousand, three hundred twenty".