85763723760 has 960 divisors, whose sum is σ = 355657236480. Its totient is φ = 18237726720.

The previous prime is 85763723609. The next prime is 85763723813. The reversal of 85763723760 is 6732736758.

85763723760 is a `hidden beast` number, since 8 + 576 + 3 + 7 + 2 + 3 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85763723697 and 85763723706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179047201 + ... + 179047679.

It is an arithmetic number, because the mean of its divisors is an integer number (370476288).

Almost surely, 2^85763723760 is an apocalyptic number.

85763723760 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 85763723760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177828618240).

85763723760 is an abundant number, since it is smaller than the sum of its proper divisors (269893512720).

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

85763723760 is a wasteful number, since it uses less digits than its factorization.

85763723760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 85763723760 in words is "eighty-five billion, seven hundred sixty-three million, seven hundred twenty-three thousand, seven hundred sixty".