21244137696600 has 768 divisors, whose sum is σ = 82158408192000. Its totient is φ = 4421346508800.

The previous prime is 21244137696443. The next prime is 21244137696643. The reversal of 21244137696600 is 669673144212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6940259070 + ... + 6940262130.

It is an arithmetic number, because the mean of its divisors is an integer number (106977094000).

Almost surely, 2^{21244137696600} is an apocalyptic number.

21244137696600 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 21244137696600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41079204096000).

21244137696600 is an abundant number, since it is smaller than the sum of its proper divisors (60914270495400).

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

21244137696600 is a wasteful number, since it uses less digits than its factorization.

21244137696600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 21244137696600 in words is "twenty-one trillion, two hundred forty-four billion, one hundred thirty-seven million, six hundred ninety-six thousand, six hundred".