21734929065800 has 48 divisors (see below), whose sum is σ = 50545627568100. Its totient is φ = 8691921305600.

The previous prime is 21734929065701. The next prime is 21734929065827. The reversal of 21734929065800 is 856092943712.

It can be written as a sum of positive squares in 6 ways, for example, as 14108903217124 + 7626025848676 = 3756182^2 + 2761526^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11964185 + ... + 13660584.

It is a 1-persistent number, because it is pandigital, but 2⋅21734929065800 = 43469858131600 is not.

Almost surely, 2^{21734929065800} is an apocalyptic number.

21734929065800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21734929065800 is an abundant number, since it is smaller than the sum of its proper divisors (28810698502300).

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

21734929065800 is a wasteful number, since it uses less digits than its factorization.

21734929065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25629026 (or 25629017 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 21734929065800 in words is "twenty-one trillion, seven hundred thirty-four billion, nine hundred twenty-nine million, sixty-five thousand, eight hundred".