855639800064 has 243 divisors, whose sum is σ = 2870842141713. Its totient is φ = 244379713536.

The previous prime is 855639800017. The next prime is 855639800069. The reversal of 855639800064 is 460008936558.

It is a happy number.

The square root of 855639800064 is 925008.

It is a perfect power (a square), and thus also a powerful number.

855639800064 is a `hidden beast` number, since 8 + 556 + 3 + 9 + 80 + 0 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 795806726400 + 59833073664 = 892080^2 + 244608^2 .

It is not an unprimeable number, because it can be changed into a prime (855639800069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 310801312 + ... + 310804064.

Almost surely, 2^855639800064 is an apocalyptic number.

855639800064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

855639800064 is the 925008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855639800064

855639800064 is an abundant number, since it is smaller than the sum of its proper divisors (2015202341649).

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

855639800064 is an frugal number, since it uses more digits than its factorization.

855639800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 855639800064 in words is "eight hundred fifty-five billion, six hundred thirty-nine million, eight hundred thousand, sixty-four".