21727385920800 has 648 divisors, whose sum is σ = 92000006122752. Its totient is φ = 4806055296000.

The previous prime is 21727385920789. The next prime is 21727385920819. The reversal of 21727385920800 is 802958372712.

21727385920800 is a `hidden beast` number, since 2 + 17 + 2 + 7 + 38 + 592 + 0 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9943485 + ... + 11930115.

Almost surely, 2^{21727385920800} is an apocalyptic number.

21727385920800 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 21727385920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000003061376).

21727385920800 is an abundant number, since it is smaller than the sum of its proper divisors (70272620201952).

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

21727385920800 is a wasteful number, since it uses less digits than its factorization.

21727385920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986702 (or 1986679 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 21727385920800 in words is "twenty-one trillion, seven hundred twenty-seven billion, three hundred eighty-five million, nine hundred twenty thousand, eight hundred".