89807940000 has 720 divisors, whose sum is σ = 350747324928. Its totient is φ = 22519296000.

The previous prime is 89807939999. The next prime is 89807940011. The reversal of 89807940000 is 4970898.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82619457 + ... + 82620543.

Almost surely, 2^89807940000 is an apocalyptic number.

89807940000 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 89807940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175373662464).

89807940000 is an abundant number, since it is smaller than the sum of its proper divisors (260939384928).

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

89807940000 is a wasteful number, since it uses less digits than its factorization.

89807940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 89807940000 in words is "eighty-nine billion, eight hundred seven million, nine hundred forty thousand".