27220968149760 has 1296 divisors, whose sum is σ = 120238425844992. Its totient is φ = 5622220800000.

The previous prime is 27220968149759. The next prime is 27220968149789. The reversal of 27220968149760 is 6794186902272.

27220968149760 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 0 + 9 + 6 + 81 + 497 + 60 = 666.

It is a super-2 number, since 2×27220968149760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1036936635 + ... + 1036962885.

It is an arithmetic number, because the mean of its divisors is an integer number (92776563152).

Almost surely, 2^{27220968149760} is an apocalyptic number.

27220968149760 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 27220968149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60119212922496).

27220968149760 is an abundant number, since it is smaller than the sum of its proper divisors (93017457695232).

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

27220968149760 is a wasteful number, since it uses less digits than its factorization.

27220968149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26470 (or 26446 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 27220968149760 in words is "twenty-seven trillion, two hundred twenty billion, nine hundred sixty-eight million, one hundred forty-nine thousand, seven hundred sixty".