27077883143220 has 1920 divisors, whose sum is σ = 114013110435840. Its totient is φ = 5220873584640.

The previous prime is 27077883143137. The next prime is 27077883143237. The reversal of 27077883143220 is 2234138877072.

27077883143220 is a `hidden beast` number, since 27 + 0 + 7 + 7 + 88 + 314 + 3 + 220 = 666.

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

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 639 ways as a sum of consecutive naturals, for example, 9346868812 + ... + 9346871708.

It is an arithmetic number, because the mean of its divisors is an integer number (59381828352).

Almost surely, 2^{27077883143220} is an apocalyptic number.

27077883143220 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 27077883143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57006555217920).

27077883143220 is an abundant number, since it is smaller than the sum of its proper divisors (86935227292620).

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

27077883143220 is a wasteful number, since it uses less digits than its factorization.

27077883143220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 27077883143220 in words is "twenty-seven trillion, seventy-seven billion, eight hundred eighty-three million, one hundred forty-three thousand, two hundred twenty".