85236880450560 has 176 divisors, whose sum is σ = 272760500461632. Its totient is φ = 22718523801600.

The previous prime is 85236880450541. The next prime is 85236880450571. The reversal of 85236880450560 is 6505408863258.

It is a happy number.

85236880450560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 85236880450494 and 85236880450503.

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 15 ways as a sum of consecutive naturals, for example, 29509230 + ... + 32268690.

Almost surely, 2^{85236880450560} is an apocalyptic number.

85236880450560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85236880450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136380250230816).

85236880450560 is an abundant number, since it is smaller than the sum of its proper divisors (187523620011072).

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

85236880450560 is a wasteful number, since it uses less digits than its factorization.

85236880450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761500 (or 2761482 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 60.

The spelling of 85236880450560 in words is "eighty-five trillion, two hundred thirty-six billion, eight hundred eighty million, four hundred fifty thousand, five hundred sixty".