27563580949680 has 60 divisors (see below), whose sum is σ = 92567692691760. Its totient is φ = 7350288253056.

The previous prime is 27563580949657. The next prime is 27563580949687. The reversal of 27563580949680 is 8694908536572.

It is a happy number.

27563580949680 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 3 + 58 + 0 + 9 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27563580949599 and 27563580949608.

It is not an unprimeable number, because it can be changed into a prime (27563580949687) 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 11 ways as a sum of consecutive naturals, for example, 19141374940 + ... + 19141376379.

It is an arithmetic number, because the mean of its divisors is an integer number (1542794878196).

Almost surely, 2^{27563580949680} is an apocalyptic number.

27563580949680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27563580949680 is an abundant number, since it is smaller than the sum of its proper divisors (65004111742080).

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

27563580949680 is a wasteful number, since it uses less digits than its factorization.

27563580949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38282751338 (or 38282751329 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 27563580949680 in words is "twenty-seven trillion, five hundred sixty-three billion, five hundred eighty million, nine hundred forty-nine thousand, six hundred eighty".