27077061019680 has 768 divisors, whose sum is σ = 117686454681600. Its totient is φ = 5674160885760.

The previous prime is 27077061019669. The next prime is 27077061019727. The reversal of 27077061019680 is 8691016077072.

27077061019680 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 7 + 0 + 610 + 19 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17051254 + ... + 18571466.

It is an arithmetic number, because the mean of its divisors is an integer number (153237571200).

Almost surely, 2^{27077061019680} is an apocalyptic number.

27077061019680 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 27077061019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58843227340800).

27077061019680 is an abundant number, since it is smaller than the sum of its proper divisors (90609393661920).

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

27077061019680 is a wasteful number, since it uses less digits than its factorization.

27077061019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520294 (or 1520280 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 27077061019680 in words is "twenty-seven trillion, seventy-seven billion, sixty-one million, nineteen thousand, six hundred eighty".