93262216320 has 1024 divisors, whose sum is σ = 410605977600. Its totient is φ = 19480559616.

The previous prime is 93262216283. The next prime is 93262216331. The reversal of 93262216320 is 2361226239.

It is a happy number.

93262216320 is a `hidden beast` number, since 9 + 3 + 2 + 622 + 1 + 6 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199704727 + ... + 199705193.

It is an arithmetic number, because the mean of its divisors is an integer number (400982400).

Almost surely, 2^93262216320 is an apocalyptic number.

93262216320 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 93262216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205302988800).

93262216320 is an abundant number, since it is smaller than the sum of its proper divisors (317343761280).

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

93262216320 is a wasteful number, since it uses less digits than its factorization.

93262216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 93262216320 in words is "ninety-three billion, two hundred sixty-two million, two hundred sixteen thousand, three hundred twenty".