27807246505864 has 64 divisors (see below), whose sum is σ = 60266014675200. Its totient is φ = 11781622195200.

The previous prime is 27807246505859. The next prime is 27807246505933. The reversal of 27807246505864 is 46850564270872.

It is a junction number, because it is equal to n+sod(n) for n = 27807246505796 and 27807246505805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31264669 + ... + 32141779.

It is an arithmetic number, because the mean of its divisors is an integer number (941656479300).

Almost surely, 2^{27807246505864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27807246505864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30133007337600).

27807246505864 is an abundant number, since it is smaller than the sum of its proper divisors (32458768169336).

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

27807246505864 is a wasteful number, since it uses less digits than its factorization.

27807246505864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883574 (or 883570 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 64.

The spelling of 27807246505864 in words is "twenty-seven trillion, eight hundred seven billion, two hundred forty-six million, five hundred five thousand, eight hundred sixty-four".