85969114560 has 896 divisors, whose sum is σ = 369856512000. Its totient is φ = 18360815616.

The previous prime is 85969114457. The next prime is 85969114577. The reversal of 85969114560 is 6541196958.

85969114560 is a `hidden beast` number, since 8 + 5 + 9 + 69 + 1 + 14 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85969114497 and 85969114506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90780007 + ... + 90780953.

Almost surely, 2^85969114560 is an apocalyptic number.

85969114560 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 85969114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184928256000).

85969114560 is an abundant number, since it is smaller than the sum of its proper divisors (283887397440).

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

85969114560 is a wasteful number, since it uses less digits than its factorization.

85969114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 85969114560 in words is "eighty-five billion, nine hundred sixty-nine million, one hundred fourteen thousand, five hundred sixty".