809551042560 has 1152 divisors, whose sum is σ = 3173289799680. Its totient is φ = 189510451200.

The previous prime is 809551042513. The next prime is 809551042579. The reversal of 809551042560 is 65240155908.

809551042560 is a `hidden beast` number, since 8 + 0 + 9 + 551 + 0 + 42 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×809551042560³ (a number of 37 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2636973927 + ... + 2636974233.

It is an arithmetic number, because the mean of its divisors is an integer number (2754591840).

Almost surely, 2^809551042560 is an apocalyptic number.

809551042560 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 809551042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586644899840).

809551042560 is an abundant number, since it is smaller than the sum of its proper divisors (2363738757120).

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

809551042560 is a wasteful number, since it uses less digits than its factorization.

809551042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 809551042560 in words is "eight hundred nine billion, five hundred fifty-one million, forty-two thousand, five hundred sixty".