85758722784 has 360 divisors, whose sum is σ = 310657984560. Its totient is φ = 23060588544.

The previous prime is 85758722759. The next prime is 85758722821. The reversal of 85758722784 is 48722785758.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2139277 + ... + 2178995.

It is an arithmetic number, because the mean of its divisors is an integer number (862938846).

Almost surely, 2^85758722784 is an apocalyptic number.

85758722784 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 85758722784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155328992280).

85758722784 is an abundant number, since it is smaller than the sum of its proper divisors (224899261776).

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

85758722784 is a wasteful number, since it uses less digits than its factorization.

85758722784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39772 (or 39748 counting only the distinct ones).

The product of its digits is 70246400, while the sum is 63.

The spelling of 85758722784 in words is "eighty-five billion, seven hundred fifty-eight million, seven hundred twenty-two thousand, seven hundred eighty-four".