85756561670304 has 240 divisors, whose sum is σ = 288251645286528. Its totient is φ = 24500658083328.

The previous prime is 85756561670207. The next prime is 85756561670341. The reversal of 85756561670304 is 40307616565758.

85756561670304 is a `hidden beast` number, since 8 + 5 + 7 + 5 + 6 + 5 + 616 + 7 + 0 + 3 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403543342 + ... + 403755794.

Almost surely, 2^{85756561670304} is an apocalyptic number.

85756561670304 is a gapful number since it is divisible by the number (84) 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 85756561670304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144125822643264).

85756561670304 is an abundant number, since it is smaller than the sum of its proper divisors (202495083616224).

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

85756561670304 is a wasteful number, since it uses less digits than its factorization.

85756561670304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234729 (or 234712 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 85756561670304 in words is "eighty-five trillion, seven hundred fifty-six billion, five hundred sixty-one million, six hundred seventy thousand, three hundred four".