27879371544960 has 1280 divisors, whose sum is σ = 108191109438720. Its totient is φ = 6800877158400.

The previous prime is 27879371544887. The next prime is 27879371544967. The reversal of 27879371544960 is 6944517397872.

27879371544960 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 9 + 3 + 71 + 544 + 9 + 6 + 0 = 666.

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 (27879371544967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53511269500 + ... + 53511270020.

It is an arithmetic number, because the mean of its divisors is an integer number (84524304249).

It is a 1-persistent number, because it is pandigital, but 2⋅27879371544960 = 55758743089920 is not.

Almost surely, 2^{27879371544960} is an apocalyptic number.

27879371544960 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 27879371544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095554719360).

27879371544960 is an abundant number, since it is smaller than the sum of its proper divisors (80311737893760).

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

27879371544960 is a wasteful number, since it uses less digits than its factorization.

27879371544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 27879371544960 in words is "twenty-seven trillion, eight hundred seventy-nine billion, three hundred seventy-one million, five hundred forty-four thousand, nine hundred sixty".