27877980382560 has 1152 divisors, whose sum is σ = 122662437101568. Its totient is φ = 5595512832000.

The previous prime is 27877980382559. The next prime is 27877980382561. The reversal of 27877980382560 is 6528308977872.

27877980382560 is a `hidden beast` number, since 27 + 8 + 7 + 7 + 9 + 8 + 0 + 38 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (27877980382559) and next prime (27877980382561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27877980382561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1914557680 + ... + 1914572240.

It is an arithmetic number, because the mean of its divisors is an integer number (106477809984).

Almost surely, 2^{27877980382560} is an apocalyptic number.

27877980382560 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 27877980382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61331218550784).

27877980382560 is an abundant number, since it is smaller than the sum of its proper divisors (94784456719008).

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

27877980382560 is a wasteful number, since it uses less digits than its factorization.

27877980382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15188 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 27877980382560 in words is "twenty-seven trillion, eight hundred seventy-seven billion, nine hundred eighty million, three hundred eighty-two thousand, five hundred sixty".