85381306560 has 672 divisors, whose sum is σ = 343446884352. Its totient is φ = 19257384960.

The previous prime is 85381306499. The next prime is 85381306573. The reversal of 85381306560 is 6560318358.

85381306560 is a `hidden beast` number, since 8 + 5 + 3 + 81 + 3 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 26958097 + ... + 26961263.

Almost surely, 2^85381306560 is an apocalyptic number.

85381306560 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 85381306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171723442176).

85381306560 is an abundant number, since it is smaller than the sum of its proper divisors (258065577792).

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

85381306560 is a wasteful number, since it uses less digits than its factorization.

85381306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 85381306560 in words is "eighty-five billion, three hundred eighty-one million, three hundred six thousand, five hundred sixty".