27645125401816 has 32 divisors (see below), whose sum is σ = 58248926436960. Its totient is φ = 12204536965632.

The previous prime is 27645125401811. The next prime is 27645125401823. The reversal of 27645125401816 is 61810452154672.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27645125401811) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5778660945 + ... + 5778665728.

It is an arithmetic number, because the mean of its divisors is an integer number (1820278951155).

Almost surely, 2^{27645125401816} is an apocalyptic number.

27645125401816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

27645125401816 is an abundant number, since it is smaller than the sum of its proper divisors (30603801035144).

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

27645125401816 is a wasteful number, since it uses less digits than its factorization.

27645125401816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557326715 (or 11557326711 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 27645125401816 in words is "twenty-seven trillion, six hundred forty-five billion, one hundred twenty-five million, four hundred one thousand, eight hundred sixteen".