89540680991616 has 1024 divisors, whose sum is σ = 288233551872000. Its totient is φ = 27289770393600.

The previous prime is 89540680991599. The next prime is 89540680991627. The reversal of 89540680991616 is 61619908604598.

89540680991616 is a `hidden beast` number, since 8 + 9 + 540 + 68 + 0 + 9 + 9 + 1 + 6 + 16 = 666.

It is a super-2 number, since 2×89540680991616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62224239025 + ... + 62224240463.

It is an arithmetic number, because the mean of its divisors is an integer number (281478078000).

Almost surely, 2^{89540680991616} 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 89540680991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144116775936000).

89540680991616 is an abundant number, since it is smaller than the sum of its proper divisors (198692870880384).

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

89540680991616 is a wasteful number, since it uses less digits than its factorization.

89540680991616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 89540680991616 in words is "eighty-nine trillion, five hundred forty billion, six hundred eighty million, nine hundred ninety-one thousand, six hundred sixteen".