85057555968 has 1440 divisors, whose sum is σ = 344131307520. Its totient is φ = 19707494400.

The previous prime is 85057555967. The next prime is 85057555981. The reversal of 85057555968 is 86955575058.

85057555968 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 75 + 559 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85057555967) 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 143 ways as a sum of consecutive naturals, for example, 2298852846 + ... + 2298852882.

Almost surely, 2^85057555968 is an apocalyptic number.

85057555968 is a gapful number since it is divisible by the number (88) 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 85057555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172065653760).

85057555968 is an abundant number, since it is smaller than the sum of its proper divisors (259073751552).

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

85057555968 is a wasteful number, since it uses less digits than its factorization.

85057555968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 75600000, while the sum is 63.

The spelling of 85057555968 in words is "eighty-five billion, fifty-seven million, five hundred fifty-five thousand, nine hundred sixty-eight".