89945359680000 has 800 divisors, whose sum is σ = 329354331527232. Its totient is φ = 21804625920000.

The previous prime is 89945359679957. The next prime is 89945359680023. The reversal of 89945359680000 is 8695354998.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1277724804 + ... + 1277795196.

Almost surely, 2^{89945359680000} is an apocalyptic number.

89945359680000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89945359680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164677165763616).

89945359680000 is an abundant number, since it is smaller than the sum of its proper divisors (239408971847232).

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

89945359680000 is an frugal number, since it uses more digits than its factorization.

89945359680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70467 (or 70414 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 89945359680000 in words is "eighty-nine trillion, nine hundred forty-five billion, three hundred fifty-nine million, six hundred eighty thousand".