89076562548480 has 576 divisors, whose sum is σ = 352151758224000. Its totient is φ = 21170447843328.

The previous prime is 89076562548461. The next prime is 89076562548503. The reversal of 89076562548480 is 8484526567098.

89076562548480 is a `hidden beast` number, since 8 + 9 + 0 + 7 + 6 + 5 + 62 + 5 + 484 + 80 = 666.

89076562548480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 89076562548399 and 89076562548408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9610756 + ... + 16447484.

It is an arithmetic number, because the mean of its divisors is an integer number (611374580250).

Almost surely, 2^{89076562548480} is an apocalyptic number.

89076562548480 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 89076562548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176075879112000).

89076562548480 is an abundant number, since it is smaller than the sum of its proper divisors (263075195675520).

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

89076562548480 is a wasteful number, since it uses less digits than its factorization.

89076562548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836801 (or 6836781 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 89076562548480 in words is "eighty-nine trillion, seventy-six billion, five hundred sixty-two million, five hundred forty-eight thousand, four hundred eighty".