89961718896 has 240 divisors, whose sum is σ = 298286337024. Its totient is φ = 24773838336.

The previous prime is 89961718883. The next prime is 89961718961. The reversal of 89961718896 is 69881716998.

It is a super-2 number, since 2×89961718896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3979401 + ... + 4001943.

Almost surely, 2^89961718896 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 89961718896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149143168512).

89961718896 is an abundant number, since it is smaller than the sum of its proper divisors (208324618128).

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

89961718896 is a wasteful number, since it uses less digits than its factorization.

89961718896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22708 (or 22699 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 72.

The spelling of 89961718896 in words is "eighty-nine billion, nine hundred sixty-one million, seven hundred eighteen thousand, eight hundred ninety-six".