21701199744 has 192 divisors, whose sum is σ = 73298415840. Its totient is φ = 6032683008.

The previous prime is 21701199649. The next prime is 21701199769. The reversal of 21701199744 is 44799110712.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 21701199744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262002 + ... + 334734.

Almost surely, 2^21701199744 is an apocalyptic number.

21701199744 is a gapful number since it is divisible by the number (24) 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 21701199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36649207920).

21701199744 is an abundant number, since it is smaller than the sum of its proper divisors (51597216096).

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

21701199744 is a wasteful number, since it uses less digits than its factorization.

21701199744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72797 (or 72782 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

It can be divided in two parts, 21701 and 199744, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 21701199744 in words is "twenty-one billion, seven hundred one million, one hundred ninety-nine thousand, seven hundred forty-four".