85955704416 has 120 divisors (see below), whose sum is σ = 252890646624. Its totient is φ = 28640874240.

The previous prime is 85955704411. The next prime is 85955704421. The reversal of 85955704416 is 61440755958.

It is a happy number.

85955704416 is a `hidden beast` number, since 8 + 59 + 5 + 570 + 4 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (85955704411) and next prime (85955704421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85955704411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9406986 + ... + 9416118.

Almost surely, 2^85955704416 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 85955704416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126445323312).

85955704416 is an abundant number, since it is smaller than the sum of its proper divisors (166934942208).

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

85955704416 is a wasteful number, since it uses less digits than its factorization.

85955704416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12786 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 85955704416 in words is "eighty-five billion, nine hundred fifty-five million, seven hundred four thousand, four hundred sixteen".