89984974628736 has 768 divisors, whose sum is σ = 298367566848000. Its totient is φ = 25781060505600.

The previous prime is 89984974628707. The next prime is 89984974628749. The reversal of 89984974628736 is 63782647948998.

89984974628736 is a `hidden beast` number, since 8 + 9 + 9 + 8 + 497 + 4 + 6 + 2 + 87 + 36 = 666.

89984974628736 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3777853435 + ... + 3777877253.

It is an arithmetic number, because the mean of its divisors is an integer number (388499436000).

Almost surely, 2^{89984974628736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89984974628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149183783424000).

89984974628736 is an abundant number, since it is smaller than the sum of its proper divisors (208382592219264).

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

89984974628736 is a wasteful number, since it uses less digits than its factorization.

89984974628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24103 (or 24088 counting only the distinct ones).

The product of its digits is 63207309312, while the sum is 90.

The spelling of 89984974628736 in words is "eighty-nine trillion, nine hundred eighty-four billion, nine hundred seventy-four million, six hundred twenty-eight thousand, seven hundred thirty-six".