89977536000000 has 1638 divisors, whose sum is σ = 357370675362428. Its totient is φ = 21795840000000.

The previous prime is 89977535999971. The next prime is 89977536000047. The reversal of 89977536000000 is 63577998.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 69695999355 + ... + 69696000645.

Almost surely, 2^{89977536000000} is an apocalyptic number.

89977536000000 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 89977536000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178685337681214).

89977536000000 is an abundant number, since it is smaller than the sum of its proper divisors (267393139362428).

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

89977536000000 is an equidigital number, since it uses as much as digits as its factorization.

89977536000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

Adding to 89977536000000 its reverse (63577998), we get a palindrome (89977599577998).

The spelling of 89977536000000 in words is "eighty-nine trillion, nine hundred seventy-seven billion, five hundred thirty-six million", and thus it is an aban number.