85455121752 has 576 divisors, whose sum is σ = 314621798400. Its totient is φ = 20346992640.

The previous prime is 85455121729. The next prime is 85455121757. The reversal of 85455121752 is 25712155458.

It is a happy number.

85455121752 is a `hidden beast` number, since 8 + 5 + 4 + 551 + 21 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85455121698 and 85455121707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85455121757) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 208936524 + ... + 208936932.

It is an arithmetic number, because the mean of its divisors is an integer number (546218400).

Almost surely, 2^85455121752 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 85455121752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157310899200).

85455121752 is an abundant number, since it is smaller than the sum of its proper divisors (229166676648).

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

85455121752 is a wasteful number, since it uses less digits than its factorization.

85455121752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The spelling of 85455121752 in words is "eighty-five billion, four hundred fifty-five million, one hundred twenty-one thousand, seven hundred fifty-two".