89161677180 has 192 divisors, whose sum is σ = 306479738880. Its totient is φ = 21404832768.

The previous prime is 89161677149. The next prime is 89161677233. The reversal of 89161677180 is 8177616198.

89161677180 is a `hidden beast` number, since 8 + 9 + 1 + 616 + 7 + 7 + 18 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4 + ... + 422283.

It is an arithmetic number, because the mean of its divisors is an integer number (1596248640).

Almost surely, 2^89161677180 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 89161677180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153239869440).

89161677180 is an abundant number, since it is smaller than the sum of its proper divisors (217318061700).

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

89161677180 is a wasteful number, since it uses less digits than its factorization.

89161677180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422345 (or 422337 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 89161677180 in words is "eighty-nine billion, one hundred sixty-one million, six hundred seventy-seven thousand, one hundred eighty".