85579403650944 has 768 divisors, whose sum is σ = 279552450355200. Its totient is φ = 23094201876480.

The previous prime is 85579403650841. The next prime is 85579403650981. The reversal of 85579403650944 is 44905630497558.

It is a super-2 number, since 2×85579403650944² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10225757992 + ... + 10225766360.

It is an arithmetic number, because the mean of its divisors is an integer number (364000586400).

Almost surely, 2^{85579403650944} is an apocalyptic number.

85579403650944 is a gapful number since it is divisible by the number (84) 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 85579403650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776225177600).

85579403650944 is an abundant number, since it is smaller than the sum of its proper divisors (193973046704256).

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

85579403650944 is a wasteful number, since it uses less digits than its factorization.

85579403650944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 69.

The spelling of 85579403650944 in words is "eighty-five trillion, five hundred seventy-nine billion, four hundred three million, six hundred fifty thousand, nine hundred forty-four".