21601774435400 has 192 divisors, whose sum is σ = 54650962828800. Its totient is φ = 7910542080000.

The previous prime is 21601774435327. The next prime is 21601774435429. The reversal of 21601774435400 is 453447710612.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82447004 + ... + 82708596.

It is an arithmetic number, because the mean of its divisors is an integer number (284640431400).

Almost surely, 2^{21601774435400} is an apocalyptic number.

21601774435400 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 21601774435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27325481414400).

21601774435400 is an abundant number, since it is smaller than the sum of its proper divisors (33049188393400).

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

21601774435400 is a wasteful number, since it uses less digits than its factorization.

21601774435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262360 (or 262351 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 21601774435400 in words is "twenty-one trillion, six hundred one billion, seven hundred seventy-four million, four hundred thirty-five thousand, four hundred".