89304061440 has 1280 divisors, whose sum is σ = 356377190400. Its totient is φ = 18815385600.

The previous prime is 89304061439. The next prime is 89304061489. The reversal of 89304061440 is 4416040398.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1513628131 + ... + 1513628189.

It is an arithmetic number, because the mean of its divisors is an integer number (278419680).

Almost surely, 2^89304061440 is an apocalyptic number.

89304061440 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 89304061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178188595200).

89304061440 is an abundant number, since it is smaller than the sum of its proper divisors (267073128960).

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

89304061440 is a wasteful number, since it uses less digits than its factorization.

89304061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

It can be divided in two parts, 893040 and 61440, that multiplied together give a square (54868377600 = 234240²).

The spelling of 89304061440 in words is "eighty-nine billion, three hundred four million, sixty-one thousand, four hundred forty".