89480153917440 has 1536 divisors, whose sum is σ = 378308213337600. Its totient is φ = 20022814310400.

The previous prime is 89480153917439. The next prime is 89480153917457. The reversal of 89480153917440 is 4471935108498.

89480153917440 is a `hidden beast` number, since 8 + 9 + 4 + 80 + 1 + 539 + 17 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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, 3202453870 + ... + 3202481810.

It is an arithmetic number, because the mean of its divisors is an integer number (246294409725).

Almost surely, 2^{89480153917440} is an apocalyptic number.

89480153917440 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 89480153917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189154106668800).

89480153917440 is an abundant number, since it is smaller than the sum of its proper divisors (288828059420160).

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

89480153917440 is a wasteful number, since it uses less digits than its factorization.

89480153917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28013 (or 27975 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 89480153917440 in words is "eighty-nine trillion, four hundred eighty billion, one hundred fifty-three million, nine hundred seventeen thousand, four hundred forty".