93381534720 has 352 divisors, whose sum is σ = 332934560640. Its totient is φ = 24821268480.

The previous prime is 93381534707. The next prime is 93381534781. The reversal of 93381534720 is 2743518339.

93381534720 is a `hidden beast` number, since 9 + 33 + 81 + 534 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×93381534720² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51562615 + ... + 51564425.

It is an arithmetic number, because the mean of its divisors is an integer number (945836820).

Almost surely, 2^93381534720 is an apocalyptic number.

93381534720 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 93381534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166467280320).

93381534720 is an abundant number, since it is smaller than the sum of its proper divisors (239553025920).

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

93381534720 is a wasteful number, since it uses less digits than its factorization.

93381534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 93381534720 in words is "ninety-three billion, three hundred eighty-one million, five hundred thirty-four thousand, seven hundred twenty".