89611220160 has 1120 divisors, whose sum is σ = 404685642240. Its totient is φ = 18280857600.

The previous prime is 89611220141. The next prime is 89611220203. The reversal of 89611220160 is 6102211698.

89611220160 is a `hidden beast` number, since 8 + 9 + 611 + 2 + 20 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 117754180 + ... + 117754940.

Almost surely, 2^89611220160 is an apocalyptic number.

89611220160 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 89611220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202342821120).

89611220160 is an abundant number, since it is smaller than the sum of its proper divisors (315074422080).

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

89611220160 is a wasteful number, since it uses less digits than its factorization.

89611220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 89611220160 in words is "eighty-nine billion, six hundred eleven million, two hundred twenty thousand, one hundred sixty".