85723263360 has 512 divisors, whose sum is σ = 358183526400. Its totient is φ = 18960998400.

The previous prime is 85723263337. The next prime is 85723263377. The reversal of 85723263360 is 6336232758.

85723263360 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 3 + 2 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3738330 + ... + 3761190.

It is an arithmetic number, because the mean of its divisors is an integer number (699577200).

Almost surely, 2^85723263360 is an apocalyptic number.

85723263360 is a gapful number since it is divisible by the number (80) 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 85723263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179091763200).

85723263360 is an abundant number, since it is smaller than the sum of its proper divisors (272460263040).

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

85723263360 is a wasteful number, since it uses less digits than its factorization.

85723263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927 (or 22909 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 85723263360 in words is "eighty-five billion, seven hundred twenty-three million, two hundred sixty-three thousand, three hundred sixty".