27705685077504 has 1120 divisors, whose sum is σ = 97786533166080. Its totient is φ = 7672915869696.

The previous prime is 27705685077437. The next prime is 27705685077517. The reversal of 27705685077504 is 40577058650772.

It is a happy number.

27705685077504 is a `hidden beast` number, since 2 + 7 + 7 + 0 + 5 + 6 + 8 + 50 + 77 + 504 = 666.

It is a super-2 number, since 2×27705685077504² (a number of 28 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 44758780107 + ... + 44758780725.

Almost surely, 2^{27705685077504} is an apocalyptic number.

27705685077504 is a gapful number since it is divisible by the number (24) 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 27705685077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48893266583040).

27705685077504 is an abundant number, since it is smaller than the sum of its proper divisors (70080848088576).

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

27705685077504 is an frugal number, since it uses more digits than its factorization.

27705685077504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 115248000, while the sum is 63.

The spelling of 27705685077504 in words is "twenty-seven trillion, seven hundred five billion, six hundred eighty-five million, seventy-seven thousand, five hundred four".