21742415560800 has 1728 divisors, whose sum is σ = 88739900282880. Its totient is φ = 5131490918400.

The previous prime is 21742415560771. The next prime is 21742415560849. The reversal of 21742415560800 is 806551424712.

21742415560800 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 2 + 4 + 1 + 5 + 560 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 32306709264 + ... + 32306709936.

It is an arithmetic number, because the mean of its divisors is an integer number (51354108960).

Almost surely, 2^{21742415560800} is an apocalyptic number.

21742415560800 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 21742415560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44369950141440).

21742415560800 is an abundant number, since it is smaller than the sum of its proper divisors (66997484722080).

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

21742415560800 is a wasteful number, since it uses less digits than its factorization.

21742415560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 21742415560800 in words is "twenty-one trillion, seven hundred forty-two billion, four hundred fifteen million, five hundred sixty thousand, eight hundred".