21861349552320 has 224 divisors, whose sum is σ = 70769335191552. Its totient is φ = 5715660607488.

The previous prime is 21861349552291. The next prime is 21861349552381. The reversal of 21861349552320 is 2325594316812.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72251269 + ... + 72553211.

Almost surely, 2^{21861349552320} is an apocalyptic number.

21861349552320 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 21861349552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35384667595776).

21861349552320 is an abundant number, since it is smaller than the sum of its proper divisors (48907985639232).

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

21861349552320 is a wasteful number, since it uses less digits than its factorization.

21861349552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303439 (or 303429 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 21861349552320 in words is "twenty-one trillion, eight hundred sixty-one billion, three hundred forty-nine million, five hundred fifty-two thousand, three hundred twenty".