21768438542400 has 504 divisors, whose sum is σ = 86366728809504. Its totient is φ = 5154470092800.

The previous prime is 21768438542293. The next prime is 21768438542423. The reversal of 21768438542400 is 424583486712.

21768438542400 is a `hidden beast` number, since 2 + 1 + 7 + 68 + 4 + 38 + 542 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5213212 + ... + 8409188.

Almost surely, 2^{21768438542400} is an apocalyptic number.

21768438542400 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 21768438542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43183364404752).

21768438542400 is an abundant number, since it is smaller than the sum of its proper divisors (64598290267104).

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

21768438542400 is a wasteful number, since it uses less digits than its factorization.

21768438542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196059 (or 3196041 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 21768438542400 in words is "twenty-one trillion, seven hundred sixty-eight billion, four hundred thirty-eight million, five hundred forty-two thousand, four hundred".