89875567548 has 270 divisors, whose sum is σ = 258656988744. Its totient is φ = 27200152512.

The previous prime is 89875567543. The next prime is 89875567549. The reversal of 89875567548 is 84576557898.

89875567548 is a `hidden beast` number, since 8 + 9 + 8 + 7 + 5 + 567 + 54 + 8 = 666.

It is a super-2 number, since 2×89875567548² (a number of 23 digits) contains 22 as substring.

Its product of digits (677376000) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89875567543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 341732065 + ... + 341732327.

Almost surely, 2^89875567548 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 89875567548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129328494372).

89875567548 is an abundant number, since it is smaller than the sum of its proper divisors (168781421196).

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

89875567548 is a wasteful number, since it uses less digits than its factorization.

89875567548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 360 counting only the distinct ones).

The product of its digits is 677376000, while the sum is 72.

The spelling of 89875567548 in words is "eighty-nine billion, eight hundred seventy-five million, five hundred sixty-seven thousand, five hundred forty-eight".