21903781222400 has 576 divisors, whose sum is σ = 69360765626880. Its totient is φ = 6660587520000.

The previous prime is 21903781222381. The next prime is 21903781222423. The reversal of 21903781222400 is 422218730912.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 161570645 + ... + 161706155.

It is an arithmetic number, because the mean of its divisors is an integer number (120417995880).

Almost surely, 2^{21903781222400} is an apocalyptic number.

21903781222400 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 21903781222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34680382813440).

21903781222400 is an abundant number, since it is smaller than the sum of its proper divisors (47456984404480).

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

21903781222400 is a wasteful number, since it uses less digits than its factorization.

21903781222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135602 (or 135577 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 21903781222400 in words is "twenty-one trillion, nine hundred three billion, seven hundred eighty-one million, two hundred twenty-two thousand, four hundred".