89955575136000 has 3456 divisors, whose sum is σ = 405304204032000. Its totient is φ = 19835194982400.

The previous prime is 89955575135999. The next prime is 89955575136001. The reversal of 89955575136000 is 63157555998.

89955575136000 is a `hidden beast` number, since 8 + 9 + 9 + 5 + 5 + 5 + 7 + 5 + 13 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89955575135999) and next prime (89955575136001).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89955575136001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 77347871419 + ... + 77347872581.

It is an arithmetic number, because the mean of its divisors is an integer number (117275522000).

Almost surely, 2^{89955575136000} is an apocalyptic number.

89955575136000 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 89955575136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202652102016000).

89955575136000 is an abundant number, since it is smaller than the sum of its proper divisors (315348628896000).

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

89955575136000 is an equidigital number, since it uses as much as digits as its factorization.

89955575136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 51030000, while the sum is 63.

The spelling of 89955575136000 in words is "eighty-nine trillion, nine hundred fifty-five billion, five hundred seventy-five million, one hundred thirty-six thousand".