85369048560 has 120 divisors (see below), whose sum is σ = 286849390464. Its totient is φ = 22753036800.

The previous prime is 85369048559. The next prime is 85369048601. The reversal of 85369048560 is 6584096358.

It is a happy number.

85369048560 is a `hidden beast` number, since 8 + 5 + 36 + 9 + 0 + 48 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 85369048497 and 85369048506.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1374334 + ... + 1435106.

Almost surely, 2^85369048560 is an apocalyptic number.

85369048560 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 85369048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143424695232).

85369048560 is an abundant number, since it is smaller than the sum of its proper divisors (201480341904).

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

85369048560 is a wasteful number, since it uses less digits than its factorization.

85369048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62743 (or 62734 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 85369048560 in words is "eighty-five billion, three hundred sixty-nine million, forty-eight thousand, five hundred sixty".