27491200450560 has 3840 divisors, whose sum is σ = 129875847413760. Its totient is φ = 5350883328000.

The previous prime is 27491200450543. The next prime is 27491200450577. The reversal of 27491200450560 is 6505400219472.

27491200450560 is a `hidden beast` number, since 2 + 7 + 49 + 1 + 2 + 0 + 0 + 45 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (27491200450543) and next prime (27491200450577).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×27491200450560² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 216466145217 + ... + 216466145343.

It is an arithmetic number, because the mean of its divisors is an integer number (33821835264).

Almost surely, 2^{27491200450560} is an apocalyptic number.

27491200450560 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 27491200450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64937923706880).

27491200450560 is an abundant number, since it is smaller than the sum of its proper divisors (102384646963200).

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

27491200450560 is a wasteful number, since it uses less digits than its factorization.

27491200450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 27491200450560 in words is "twenty-seven trillion, four hundred ninety-one billion, two hundred million, four hundred fifty thousand, five hundred sixty".