89254089288 has 192 divisors, whose sum is σ = 299412072960. Its totient is φ = 23389337088.

The previous prime is 89254089283. The next prime is 89254089289. The reversal of 89254089288 is 88298045298.

89254089288 is a `hidden beast` number, since 8 + 9 + 2 + 540 + 8 + 9 + 2 + 88 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (89254089283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985281 + ... + 1072047.

It is an arithmetic number, because the mean of its divisors is an integer number (1559437880).

Almost surely, 2^89254089288 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 89254089288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149706036480).

89254089288 is an abundant number, since it is smaller than the sum of its proper divisors (210157983672).

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

89254089288 is a wasteful number, since it uses less digits than its factorization.

89254089288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86956 (or 86949 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 89254089288 in words is "eighty-nine billion, two hundred fifty-four million, eighty-nine thousand, two hundred eighty-eight".