20427153868800 has 3888 divisors, whose sum is σ = 94849252423380. Its totient is φ = 4334215495680.

The previous prime is 20427153868799. The next prime is 20427153868819. The reversal of 20427153868800 is 886835172402.

20427153868800 is a `hidden beast` number, since 2 + 0 + 4 + 27 + 1 + 538 + 6 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11024737403904 + 9402416464896 = 3320352^2 + 3066336^2 .

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×20427153868800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 279824025564 + ... + 279824025636.

Almost surely, 2^{20427153868800} is an apocalyptic number.

20427153868800 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 20427153868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47424626211690).

20427153868800 is an abundant number, since it is smaller than the sum of its proper divisors (74422098554580).

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

20427153868800 is an frugal number, since it uses more digits than its factorization.

20427153868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 20427153868800 in words is "twenty trillion, four hundred twenty-seven billion, one hundred fifty-three million, eight hundred sixty-eight thousand, eight hundred".