89051114880 has 1280 divisors, whose sum is σ = 401421081600. Its totient is φ = 18310053888.

The previous prime is 89051114863. The next prime is 89051114891. The reversal of 89051114880 is 8841115098.

89051114880 is a `hidden beast` number, since 8 + 90 + 511 + 1 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×89051114880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 202849701 + ... + 202850139.

It is an arithmetic number, because the mean of its divisors is an integer number (313610220).

Almost surely, 2^89051114880 is an apocalyptic number.

89051114880 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 89051114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200710540800).

89051114880 is an abundant number, since it is smaller than the sum of its proper divisors (312369966720).

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

89051114880 is a wasteful number, since it uses less digits than its factorization.

89051114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 89051114880 in words is "eighty-nine billion, fifty-one million, one hundred fourteen thousand, eight hundred eighty".