89393934240 has 576 divisors, whose sum is σ = 349520554656. Its totient is φ = 20610809856.

The previous prime is 89393934221. The next prime is 89393934241. The reversal of 89393934240 is 4243939398.

89393934240 is a `hidden beast` number, since 8 + 9 + 3 + 9 + 393 + 4 + 240 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 58009685904 + 31384248336 = 240852^2 + 177156^2 .

It is not an unprimeable number, because it can be changed into a prime (89393934241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81787134 + ... + 81788226.

Almost surely, 2^89393934240 is an apocalyptic number.

89393934240 is a gapful number since it is divisible by the number (80) 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 89393934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174760277328).

89393934240 is an abundant number, since it is smaller than the sum of its proper divisors (260126620416).

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

89393934240 is a wasteful number, since it uses less digits than its factorization.

89393934240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 89393934240 in words is "eighty-nine billion, three hundred ninety-three million, nine hundred thirty-four thousand, two hundred forty".