93939435072 has 560 divisors, whose sum is σ = 339008313600. Its totient is φ = 25661712384.

The previous prime is 93939435047. The next prime is 93939435077. The reversal of 93939435072 is 27053493939.

93939435072 is a `hidden beast` number, since 9 + 3 + 93 + 9 + 43 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (93939435077) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 40895428 + ... + 40897724.

Almost surely, 2^93939435072 is an apocalyptic number.

93939435072 is a gapful number since it is divisible by the number (92) 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 93939435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169504156800).

93939435072 is an abundant number, since it is smaller than the sum of its proper divisors (245068878528).

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

93939435072 is a wasteful number, since it uses less digits than its factorization.

93939435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 93939435072 in words is "ninety-three billion, nine hundred thirty-nine million, four hundred thirty-five thousand, seventy-two".