856365543264 has 576 divisors, whose sum is σ = 2932642492416. Its totient is φ = 213954048000.

The previous prime is 856365543259. The next prime is 856365543269. The reversal of 856365543264 is 462345563658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (856365543259) and next prime (856365543269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856365543269) 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, 456240694 + ... + 456242570.

It is an arithmetic number, because the mean of its divisors is an integer number (5091393216).

Almost surely, 2^856365543264 is an apocalyptic number.

856365543264 is a gapful number since it is divisible by the number (84) 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 856365543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466321246208).

856365543264 is an abundant number, since it is smaller than the sum of its proper divisors (2076276949152).

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

856365543264 is a wasteful number, since it uses less digits than its factorization.

856365543264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2112 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 57.

The spelling of 856365543264 in words is "eight hundred fifty-six billion, three hundred sixty-five million, five hundred forty-three thousand, two hundred sixty-four".