85946821632 has 1056 divisors, whose sum is σ = 321886656000. Its totient is φ = 22824861696.

The previous prime is 85946821619. The next prime is 85946821691. The reversal of 85946821632 is 23612864958.

85946821632 is a `hidden beast` number, since 8 + 594 + 6 + 8 + 2 + 16 + 32 = 666.

It is a super-2 number, since 2×85946821632² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (4976640) is a multiple of the sum of its prime factors (128).

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 95 ways as a sum of consecutive naturals, for example, 1621638118 + ... + 1621638170.

Almost surely, 2^85946821632 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 85946821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943328000).

85946821632 is an abundant number, since it is smaller than the sum of its proper divisors (235939834368).

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

85946821632 is an equidigital number, since it uses as much as digits as its factorization.

85946821632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 85946821632 in words is "eighty-five billion, nine hundred forty-six million, eight hundred twenty-one thousand, six hundred thirty-two".