27053361642240 has 1440 divisors, whose sum is σ = 103339485849600. Its totient is φ = 6743028695040.

The previous prime is 27053361642211. The next prime is 27053361642247. The reversal of 27053361642240 is 4224616335072.

27053361642240 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 3 + 3 + 616 + 4 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×27053361642240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27053361642247) 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, 26037883641 + ... + 26037884679.

It is an arithmetic number, because the mean of its divisors is an integer number (71763531840).

Almost surely, 2^{27053361642240} is an apocalyptic number.

27053361642240 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 27053361642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51669742924800).

27053361642240 is an abundant number, since it is smaller than the sum of its proper divisors (76286124207360).

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

27053361642240 is a wasteful number, since it uses less digits than its factorization.

27053361642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 27053361642240 in words is "twenty-seven trillion, fifty-three billion, three hundred sixty-one million, six hundred forty-two thousand, two hundred forty".