89190440064 has 768 divisors, whose sum is σ = 306751536000. Its totient is φ = 25546752000.

The previous prime is 89190440063. The next prime is 89190440069. The reversal of 89190440064 is 46004409198.

It is not an unprimeable number, because it can be changed into a prime (89190440063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 883073614 + ... + 883073714.

Almost surely, 2^89190440064 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 89190440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153375768000).

89190440064 is an abundant number, since it is smaller than the sum of its proper divisors (217561095936).

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

89190440064 is a wasteful number, since it uses less digits than its factorization.

89190440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 89190440064 in words is "eighty-nine billion, one hundred ninety million, four hundred forty thousand, sixty-four".