21849611755104 has 576 divisors, whose sum is σ = 76651286100480. Its totient is φ = 5761336688640.

The previous prime is 21849611755093. The next prime is 21849611755123. The reversal of 21849611755104 is 40155711694812.

It is a happy number.

21849611755104 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 9 + 6 + 117 + 5 + 510 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5919697899 + ... + 5919701589.

It is an arithmetic number, because the mean of its divisors is an integer number (133075149480).

Almost surely, 2^{21849611755104} is an apocalyptic number.

21849611755104 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 21849611755104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38325643050240).

21849611755104 is an abundant number, since it is smaller than the sum of its proper divisors (54801674345376).

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

21849611755104 is a wasteful number, since it uses less digits than its factorization.

21849611755104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 21849611755104 in words is "twenty-one trillion, eight hundred forty-nine billion, six hundred eleven million, seven hundred fifty-five thousand, one hundred four".