5427866505600 has 2304 divisors, whose sum is σ = 25208961523200. Its totient is φ = 1120341196800.

The previous prime is 5427866505587. The next prime is 5427866505601. The reversal of 5427866505600 is 65056687245.

5427866505600 is a `hidden beast` number, since 5 + 4 + 2 + 78 + 6 + 6 + 5 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×5427866505600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5427866505601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16106428632 + ... + 16106428968.

It is an arithmetic number, because the mean of its divisors is an integer number (10941389550).

Almost surely, 2^{5427866505600} is an apocalyptic number.

5427866505600 is a gapful number since it is divisible by the number (50) 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 5427866505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604480761600).

5427866505600 is an abundant number, since it is smaller than the sum of its proper divisors (19781095017600).

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

5427866505600 is a wasteful number, since it uses less digits than its factorization.

5427866505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5427866505600 in words is "five trillion, four hundred twenty-seven billion, eight hundred sixty-six million, five hundred five thousand, six hundred".