85156577856 has 441 divisors, whose sum is σ = 296257515561. Its totient is φ = 24204386304.

The previous prime is 85156577843. The next prime is 85156577879. The reversal of 85156577856 is 65877565158.

The square root of 85156577856 is 291816.

It is a perfect power (a square), and thus also a powerful number.

85156577856 is a `hidden beast` number, since 8 + 5 + 1 + 5 + 6 + 577 + 8 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20632449600 + 64524128256 = 143640^2 + 254016^2 .

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 85156577793 and 85156577802.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 441225696 + ... + 441225888.

Almost surely, 2^85156577856 is an apocalyptic number.

85156577856 is the 291816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85156577856

85156577856 is an abundant number, since it is smaller than the sum of its proper divisors (211100937705).

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

85156577856 is an frugal number, since it uses more digits than its factorization.

85156577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 205 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 63.

The spelling of 85156577856 in words is "eighty-five billion, one hundred fifty-six million, five hundred seventy-seven thousand, eight hundred fifty-six".