89376480000 has 720 divisors, whose sum is σ = 349986843360. Its totient is φ = 22413312000.

The previous prime is 89376479977. The next prime is 89376480007. The reversal of 89376480000 is 8467398.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (89376480007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73439392 + ... + 73440608.

It is an arithmetic number, because the mean of its divisors is an integer number (486092838).

Almost surely, 2^89376480000 is an apocalyptic number.

89376480000 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 89376480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174993421680).

89376480000 is an abundant number, since it is smaller than the sum of its proper divisors (260610363360).

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

89376480000 is a wasteful number, since it uses less digits than its factorization.

89376480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 89376480000 in words is "eighty-nine billion, three hundred seventy-six million, four hundred eighty thousand".