89255156256 has 384 divisors, whose sum is σ = 304453416960. Its totient is φ = 24911318016.

The previous prime is 89255156251. The next prime is 89255156269. The reversal of 89255156256 is 65265155298.

It is a happy number.

89255156256 is a `hidden beast` number, since 8 + 9 + 2 + 5 + 5 + 1 + 5 + 625 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (89255156251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98406555 + ... + 98407461.

It is an arithmetic number, because the mean of its divisors is an integer number (792847440).

Almost surely, 2^89255156256 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 89255156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152226708480).

89255156256 is an abundant number, since it is smaller than the sum of its proper divisors (215198260704).

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

89255156256 is a wasteful number, since it uses less digits than its factorization.

89255156256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The spelling of 89255156256 in words is "eighty-nine billion, two hundred fifty-five million, one hundred fifty-six thousand, two hundred fifty-six".