89334685440 has 1728 divisors, whose sum is σ = 425124790272. Its totient is φ = 16721510400.

The previous prime is 89334685423. The next prime is 89334685441. The reversal of 89334685440 is 4458643398.

89334685440 is a `hidden beast` number, since 8 + 9 + 3 + 34 + 68 + 544 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89334685441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 703422657 + ... + 703422783.

Almost surely, 2^89334685440 is an apocalyptic number.

89334685440 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 89334685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212562395136).

89334685440 is an abundant number, since it is smaller than the sum of its proper divisors (335790104832).

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

89334685440 is a wasteful number, since it uses less digits than its factorization.

89334685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 89334685440 in words is "eighty-nine billion, three hundred thirty-four million, six hundred eighty-five thousand, four hundred forty".