20918548742400 has 2187 divisors, whose sum is σ = 85293360212151. Its totient is φ = 4889520046080.

The previous prime is 20918548742291. The next prime is 20918548742453. The reversal of 20918548742400 is 424784581902.

The square root of 20918548742400 is 4573680.

It is a perfect power (a square), and thus also a powerful number.

20918548742400 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 8 + 548 + 74 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 489305846016 + 20429242896384 = 699504^2 + 4519872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 354551673571 + ... + 354551673629.

Almost surely, 2^{20918548742400} is an apocalyptic number.

20918548742400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20918548742400 is the 4573680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20918548742400

20918548742400 is an abundant number, since it is smaller than the sum of its proper divisors (64374811469751).

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

20918548742400 is a wasteful number, since it uses less digits than its factorization.

20918548742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 105 counting only the distinct ones).

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

The spelling of 20918548742400 in words is "twenty trillion, nine hundred eighteen billion, five hundred forty-eight million, seven hundred forty-two thousand, four hundred".