85063793760 has 576 divisors, whose sum is σ = 328888486080. Its totient is φ = 20518502400.

The previous prime is 85063793621. The next prime is 85063793767. The reversal of 85063793760 is 6739736058.

85063793760 is a `hidden beast` number, since 8 + 506 + 3 + 79 + 3 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85063793697 and 85063793706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85063793767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184519930 + ... + 184520390.

It is an arithmetic number, because the mean of its divisors is an integer number (570986955).

Almost surely, 2^85063793760 is an apocalyptic number.

85063793760 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 85063793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164444243040).

85063793760 is an abundant number, since it is smaller than the sum of its proper divisors (243824692320).

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

85063793760 is a wasteful number, since it uses less digits than its factorization.

85063793760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 85063793760 in words is "eighty-five billion, sixty-three million, seven hundred ninety-three thousand, seven hundred sixty".