89377404480000 has 6400 divisors, whose sum is σ = 444412622438400. Its totient is φ = 17199267840000.

The previous prime is 89377404479921. The next prime is 89377404480037. The reversal of 89377404480000 is 8440477398.

89377404480000 is a `hidden beast` number, since 8 + 93 + 7 + 74 + 0 + 4 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 463095359904 + ... + 463095360096.

It is an arithmetic number, because the mean of its divisors is an integer number (69439472256).

Almost surely, 2^{89377404480000} is an apocalyptic number.

89377404480000 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 89377404480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222206311219200).

89377404480000 is an abundant number, since it is smaller than the sum of its proper divisors (355035217958400).

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

89377404480000 is a wasteful number, since it uses less digits than its factorization.

89377404480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 89377404480000 in words is "eighty-nine trillion, three hundred seventy-seven billion, four hundred four million, four hundred eighty thousand".