85749497856 has 576 divisors, whose sum is σ = 285541237800. Its totient is φ = 25692733440.

The previous prime is 85749497839. The next prime is 85749497863. The reversal of 85749497856 is 65879494758.

85749497856 is a `hidden beast` number, since 8 + 57 + 4 + 9 + 497 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×85749497856² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (609638400) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 963477460 + ... + 963477548.

Almost surely, 2^85749497856 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 85749497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142770618900).

85749497856 is an abundant number, since it is smaller than the sum of its proper divisors (199791739944).

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

85749497856 is an frugal number, since it uses more digits than its factorization.

85749497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 105 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 85749497856 in words is "eighty-five billion, seven hundred forty-nine million, four hundred ninety-seven thousand, eight hundred fifty-six".