806135092560 has 640 divisors, whose sum is σ = 3264591052800. Its totient is φ = 179019694080.

The previous prime is 806135092531. The next prime is 806135092571. The reversal of 806135092560 is 65290531608.

806135092560 is a `hidden beast` number, since 8 + 0 + 61 + 3 + 509 + 25 + 60 = 666.

806135092560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 98774880 + ... + 98783040.

It is an arithmetic number, because the mean of its divisors is an integer number (5100923520).

Almost surely, 2^806135092560 is an apocalyptic number.

806135092560 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 806135092560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632295526400).

806135092560 is an abundant number, since it is smaller than the sum of its proper divisors (2458455960240).

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

806135092560 is a wasteful number, since it uses less digits than its factorization.

806135092560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 806135092560 in words is "eight hundred six billion, one hundred thirty-five million, ninety-two thousand, five hundred sixty".