89407874958336 has 2112 divisors, whose sum is σ = 315591656620032. Its totient is φ = 24086937600000.

The previous prime is 89407874958257. The next prime is 89407874958343. The reversal of 89407874958336 is 63385947870498.

It is a happy number.

89407874958336 is a `hidden beast` number, since 8 + 9 + 40 + 7 + 8 + 7 + 495 + 83 + 3 + 6 = 666.

89407874958336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270114425691 + ... + 270114426021.

Almost surely, 2^{89407874958336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89407874958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157795828310016).

89407874958336 is an abundant number, since it is smaller than the sum of its proper divisors (226183781661696).

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

89407874958336 is a wasteful number, since it uses less digits than its factorization.

89407874958336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 89407874958336 in words is "eighty-nine trillion, four hundred seven billion, eight hundred seventy-four million, nine hundred fifty-eight thousand, three hundred thirty-six".