85335757056 has 216 divisors, whose sum is σ = 269977046976. Its totient is φ = 25708523520.

The previous prime is 85335757049. The next prime is 85335757063. The reversal of 85335757056 is 65075753358.

85335757056 is a `hidden beast` number, since 8 + 533 + 5 + 7 + 57 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (85335757049) and next prime (85335757063).

It is a junction number, because it is equal to n+sod(n) for n = 85335756993 and 85335757011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4374781 + ... + 4394243.

It is an arithmetic number, because the mean of its divisors is an integer number (1249893736).

Almost surely, 2^85335757056 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 85335757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134988523488).

85335757056 is an abundant number, since it is smaller than the sum of its proper divisors (184641289920).

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

85335757056 is a wasteful number, since it uses less digits than its factorization.

85335757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19669 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 85335757056 in words is "eighty-five billion, three hundred thirty-five million, seven hundred fifty-seven thousand, fifty-six".