89625827088 has 360 divisors, whose sum is σ = 297651234816. Its totient is φ = 25096780800.

The previous prime is 89625827059. The next prime is 89625827099. The reversal of 89625827088 is 88072852698.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98381353 + ... + 98382263.

Almost surely, 2^89625827088 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 89625827088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148825617408).

89625827088 is an abundant number, since it is smaller than the sum of its proper divisors (208025407728).

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

89625827088 is a wasteful number, since it uses less digits than its factorization.

89625827088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 89625827088 in words is "eighty-nine billion, six hundred twenty-five million, eight hundred twenty-seven thousand, eighty-eight".