89725634712 has 256 divisors, whose sum is σ = 293912064000. Its totient is φ = 24832065024.

The previous prime is 89725634689. The next prime is 89725634729. The reversal of 89725634712 is 21743652798.

It is a happy number.

89725634712 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 563 + 4 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6323658 + ... + 6337830.

It is an arithmetic number, because the mean of its divisors is an integer number (1148094000).

Almost surely, 2^89725634712 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 89725634712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146956032000).

89725634712 is an abundant number, since it is smaller than the sum of its proper divisors (204186429288).

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

89725634712 is a wasteful number, since it uses less digits than its factorization.

89725634712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327 (or 14317 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 89725634712 in words is "eighty-nine billion, seven hundred twenty-five million, six hundred thirty-four thousand, seven hundred twelve".