27713356856640 has 2688 divisors, whose sum is σ = 127522779955200. Its totient is φ = 5609648701440.

The previous prime is 27713356856611. The next prime is 27713356856657. The reversal of 27713356856640 is 4665865331772.

27713356856640 is a `hidden beast` number, since 2 + 7 + 7 + 1 + 3 + 3 + 5 + 68 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 21667987521 + ... + 21667988799.

It is an arithmetic number, because the mean of its divisors is an integer number (47441510400).

Almost surely, 2^{27713356856640} is an apocalyptic number.

27713356856640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27713356856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63761389977600).

27713356856640 is an abundant number, since it is smaller than the sum of its proper divisors (99809423098560).

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

27713356856640 is a wasteful number, since it uses less digits than its factorization.

27713356856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 27713356856640 in words is "twenty-seven trillion, seven hundred thirteen billion, three hundred fifty-six million, eight hundred fifty-six thousand, six hundred forty".