89518774620132 has 768 divisors, whose sum is σ = 280557186524160. Its totient is φ = 24326214451200.

The previous prime is 89518774620127. The next prime is 89518774620133. The reversal of 89518774620132 is 23102647781598.

89518774620132 is a `hidden beast` number, since 8 + 9 + 518 + 77 + 46 + 2 + 0 + 1 + 3 + 2 = 666.

89518774620132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×89518774620132² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89518774620132.

It is not an unprimeable number, because it can be changed into a prime (89518774620133) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80142143238 + ... + 80142144354.

It is an arithmetic number, because the mean of its divisors is an integer number (365308836620).

It is a 1-persistent number, because it is pandigital, but 2⋅89518774620132 = 179037549240264 is not.

Almost surely, 2^{89518774620132} 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 89518774620132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140278593262080).

89518774620132 is an abundant number, since it is smaller than the sum of its proper divisors (191038411904028).

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

89518774620132 is a wasteful number, since it uses less digits than its factorization.

89518774620132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 89518774620132 in words is "eighty-nine trillion, five hundred eighteen billion, seven hundred seventy-four million, six hundred twenty thousand, one hundred thirty-two".