85726779138 has 640 divisors, whose sum is σ = 276412663296. Its totient is φ = 19269550080.

The previous prime is 85726779077. The next prime is 85726779209. The reversal of 85726779138 is 83197762758.

It is a super-2 number, since 2×85726779138² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 333567106 + ... + 333567362.

Almost surely, 2^85726779138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85726779138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138206331648).

85726779138 is an abundant number, since it is smaller than the sum of its proper divisors (190685884158).

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

85726779138 is a wasteful number, since it uses less digits than its factorization.

85726779138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 85726779138 in words is "eighty-five billion, seven hundred twenty-six million, seven hundred seventy-nine thousand, one hundred thirty-eight".