85753626456 has 128 divisors (see below), whose sum is σ = 231670134720. Its totient is φ = 26350731264.

The previous prime is 85753626437. The next prime is 85753626479. The reversal of 85753626456 is 65462635758.

It is a junction number, because it is equal to n+sod(n) for n = 85753626396 and 85753626405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14117436 + ... + 14123508.

Almost surely, 2^85753626456 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 85753626456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115835067360).

85753626456 is an abundant number, since it is smaller than the sum of its proper divisors (145916508264).

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

85753626456 is a wasteful number, since it uses less digits than its factorization.

85753626456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6801 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 57.

The spelling of 85753626456 in words is "eighty-five billion, seven hundred fifty-three million, six hundred twenty-six thousand, four hundred fifty-six".