89471685219840 has 720 divisors, whose sum is σ = 389252751791904. Its totient is φ = 18591514951680.

The previous prime is 89471685219827. The next prime is 89471685219841. The reversal of 89471685219840 is 4891258617498.

89471685219840 is a `hidden beast` number, since 8 + 9 + 4 + 7 + 1 + 6 + 8 + 521 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×89471685219840³ (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 not an unprimeable number, because it can be changed into a prime (89471685219841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17222484 + ... + 21807276.

Almost surely, 2^{89471685219840} is an apocalyptic number.

89471685219840 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 89471685219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194626375895952).

89471685219840 is an abundant number, since it is smaller than the sum of its proper divisors (299781066572064).

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

89471685219840 is a wasteful number, since it uses less digits than its factorization.

89471685219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584851 (or 4584821 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 89471685219840 in words is "eighty-nine trillion, four hundred seventy-one billion, six hundred eighty-five million, two hundred nineteen thousand, eight hundred forty".