89225884833540 has 768 divisors, whose sum is σ = 315347072624640. Its totient is φ = 18350981775360.

The previous prime is 89225884833521. The next prime is 89225884833577. The reversal of 89225884833540 is 4533848852298.

It is a super-2 number, since 2×89225884833540² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42876445300 + ... + 42876447380.

It is an arithmetic number, because the mean of its divisors is an integer number (410608167480).

Almost surely, 2^{89225884833540} 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 89225884833540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157673536312320).

89225884833540 is an abundant number, since it is smaller than the sum of its proper divisors (226121187791100).

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

89225884833540 is a wasteful number, since it uses less digits than its factorization.

89225884833540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 69.

The spelling of 89225884833540 in words is "eighty-nine trillion, two hundred twenty-five billion, eight hundred eighty-four million, eight hundred thirty-three thousand, five hundred forty".