89757604085760 has 1280 divisors, whose sum is σ = 348134651615520. Its totient is φ = 22083859906560.

The previous prime is 89757604085701. The next prime is 89757604085771. The reversal of 89757604085760 is 6758040675798.

89757604085760 is a `hidden beast` number, since 8 + 9 + 7 + 5 + 7 + 6 + 0 + 40 + 8 + 576 + 0 = 666.

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

It is a super-3 number, since 3×89757604085760³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41923214290 + ... + 41923216430.

Almost surely, 2^{89757604085760} is an apocalyptic number.

89757604085760 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 89757604085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174067325807760).

89757604085760 is an abundant number, since it is smaller than the sum of its proper divisors (258377047529760).

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

89757604085760 is an frugal number, since it uses more digits than its factorization.

89757604085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 89757604085760 in words is "eighty-nine trillion, seven hundred fifty-seven billion, six hundred four million, eighty-five thousand, seven hundred sixty".