21953488458240 has 1280 divisors, whose sum is σ = 85266542592000. Its totient is φ = 5333445181440.

The previous prime is 21953488458199. The next prime is 21953488458241. The reversal of 21953488458240 is 4285488435912.

21953488458240 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 3 + 4 + 8 + 8 + 4 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (21953488458241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6798848946 + ... + 6798852174.

It is an arithmetic number, because the mean of its divisors is an integer number (66614486400).

Almost surely, 2^{21953488458240} is an apocalyptic number.

21953488458240 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 21953488458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42633271296000).

21953488458240 is an abundant number, since it is smaller than the sum of its proper divisors (63313054133760).

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

21953488458240 is a wasteful number, since it uses less digits than its factorization.

21953488458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 21953488458240 in words is "twenty-one trillion, nine hundred fifty-three billion, four hundred eighty-eight million, four hundred fifty-eight thousand, two hundred forty".