89406037440720 has 1920 divisors, whose sum is σ = 421299083132928. Its totient is φ = 16393350758400.

The previous prime is 89406037440691. The next prime is 89406037440773. The reversal of 89406037440720 is 2704473060498.

89406037440720 is a `hidden beast` number, since 8 + 9 + 4 + 0 + 603 + 7 + 4 + 4 + 0 + 7 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1456544430 + ... + 1456605810.

Almost surely, 2^{89406037440720} is an apocalyptic number.

89406037440720 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 89406037440720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210649541566464).

89406037440720 is an abundant number, since it is smaller than the sum of its proper divisors (331893045692208).

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

89406037440720 is a wasteful number, since it uses less digits than its factorization.

89406037440720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61521 (or 61512 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 89406037440720 in words is "eighty-nine trillion, four hundred six billion, thirty-seven million, four hundred forty thousand, seven hundred twenty".