21743047552128 has 512 divisors, whose sum is σ = 72381147955200. Its totient is φ = 5641830727680.

The previous prime is 21743047552097. The next prime is 21743047552157. The reversal of 21743047552128 is 82125574034712.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 152416258 + ... + 152558846.

It is an arithmetic number, because the mean of its divisors is an integer number (141369429600).

Almost surely, 2^{21743047552128} is an apocalyptic number.

21743047552128 is a gapful number since it is divisible by the number (28) 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 21743047552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36190573977600).

21743047552128 is an abundant number, since it is smaller than the sum of its proper divisors (50638100403072).

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

21743047552128 is a wasteful number, since it uses less digits than its factorization.

21743047552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142748 (or 142736 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 21743047552128 in words is "twenty-one trillion, seven hundred forty-three billion, forty-seven million, five hundred fifty-two thousand, one hundred twenty-eight".