21649322096640 has 1152 divisors, whose sum is σ = 91996212672000. Its totient is φ = 4777669951488.

The previous prime is 21649322096639. The next prime is 21649322096719. The reversal of 21649322096640 is 4669022394612.

21649322096640 is a `hidden beast` number, since 2 + 1 + 6 + 493 + 2 + 2 + 0 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505107531 + ... + 505150389.

It is an arithmetic number, because the mean of its divisors is an integer number (79857823500).

Almost surely, 2^{21649322096640} is an apocalyptic number.

21649322096640 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 21649322096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45998106336000).

21649322096640 is an abundant number, since it is smaller than the sum of its proper divisors (70346890575360).

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

21649322096640 is an equidigital number, since it uses as much as digits as its factorization.

21649322096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42937 (or 42905 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 21649322096640 in words is "twenty-one trillion, six hundred forty-nine billion, three hundred twenty-two million, ninety-six thousand, six hundred forty".