89611058880 has 756 divisors, whose sum is σ = 378626339520. Its totient is φ = 19393468416.

The previous prime is 89611058857. The next prime is 89611058983. The reversal of 89611058880 is 8885011698.

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 107 ways as a sum of consecutive naturals, for example, 50943441 + ... + 50945199.

Almost surely, 2^89611058880 is an apocalyptic number.

89611058880 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 89611058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189313169760).

89611058880 is an abundant number, since it is smaller than the sum of its proper divisors (289015280640).

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

89611058880 is a wasteful number, since it uses less digits than its factorization.

89611058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 89611058880 in words is "eighty-nine billion, six hundred eleven million, fifty-eight thousand, eight hundred eighty".