27077804548542 has 1024 divisors, whose sum is σ = 75977765683200. Its totient is φ = 7052707584000.

The previous prime is 27077804548541. The next prime is 27077804548559. The reversal of 27077804548542 is 24584540877072.

27077804548542 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 7 + 8 + 0 + 45 + 48 + 542 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27077804548542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27077804548541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 41851320463 + ... + 41851321109.

It is an arithmetic number, because the mean of its divisors is an integer number (74197036800).

Almost surely, 2^{27077804548542} is an apocalyptic number.

27077804548542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27077804548542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37988882841600).

27077804548542 is an abundant number, since it is smaller than the sum of its proper divisors (48899961134658).

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

27077804548542 is a wasteful number, since it uses less digits than its factorization.

27077804548542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 140492800, while the sum is 63.

The spelling of 27077804548542 in words is "twenty-seven trillion, seventy-seven billion, eight hundred four million, five hundred forty-eight thousand, five hundred forty-two".