93220513920 has 384 divisors, whose sum is σ = 334593558000. Its totient is φ = 23886987264.

The previous prime is 93220513907. The next prime is 93220513921. The reversal of 93220513920 is 2931502239.

93220513920 is a `hidden beast` number, since 9 + 32 + 20 + 513 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84373982784 + 8846531136 = 290472^2 + 94056^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (93220513921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38250942 + ... + 38253378.

Almost surely, 2^93220513920 is an apocalyptic number.

93220513920 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 93220513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167296779000).

93220513920 is an abundant number, since it is smaller than the sum of its proper divisors (241373044080).

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

93220513920 is a wasteful number, since it uses less digits than its factorization.

93220513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 93220513920 in words is "ninety-three billion, two hundred twenty million, five hundred thirteen thousand, nine hundred twenty".