85971778360 has 128 divisors (see below), whose sum is σ = 219439987200. Its totient is φ = 30050818560.

The previous prime is 85971778337. The next prime is 85971778447. The reversal of 85971778360 is 6387717958.

It is a super-2 number, since 2×85971778360² (a number of 23 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 31 ways as a sum of consecutive naturals, for example, 19866517 + ... + 19870843.

It is an arithmetic number, because the mean of its divisors is an integer number (1714374900).

Almost surely, 2^85971778360 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 85971778360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109719993600).

85971778360 is an abundant number, since it is smaller than the sum of its proper divisors (133468208840).

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

85971778360 is a wasteful number, since it uses less digits than its factorization.

85971778360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 61.

The spelling of 85971778360 in words is "eighty-five billion, nine hundred seventy-one million, seven hundred seventy-eight thousand, three hundred sixty".