27138770924160 has 2048 divisors, whose sum is σ = 112465428480000. Its totient is φ = 5541260820480.

The previous prime is 27138770924141. The next prime is 27138770924197. The reversal of 27138770924160 is 6142907783172.

It is a self number, because there is not a number n which added to its sum of digits gives 27138770924160.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13617044124 + ... + 13617046116.

It is an arithmetic number, because the mean of its divisors is an integer number (54914760000).

Almost surely, 2^{27138770924160} is an apocalyptic number.

27138770924160 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 27138770924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56232714240000).

27138770924160 is an abundant number, since it is smaller than the sum of its proper divisors (85326657555840).

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

27138770924160 is a wasteful number, since it uses less digits than its factorization.

27138770924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 27138770924160 in words is "twenty-seven trillion, one hundred thirty-eight billion, seven hundred seventy million, nine hundred twenty-four thousand, one hundred sixty".