89548018560 has 2048 divisors, whose sum is σ = 442191052800. Its totient is φ = 16522444800.

The previous prime is 89548018519. The next prime is 89548018579. The reversal of 89548018560 is 6581084598.

It is a happy number.

89548018560 is a `hidden beast` number, since 8 + 95 + 480 + 18 + 5 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 89548018497 and 89548018506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 536215597 + ... + 536215763.

It is an arithmetic number, because the mean of its divisors is an integer number (215913600).

Almost surely, 2^89548018560 is an apocalyptic number.

89548018560 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 89548018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221095526400).

89548018560 is an abundant number, since it is smaller than the sum of its proper divisors (352643034240).

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

89548018560 is a wasteful number, since it uses less digits than its factorization.

89548018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 89548018560 in words is "eighty-nine billion, five hundred forty-eight million, eighteen thousand, five hundred sixty".