21956343360000 has 1200 divisors, whose sum is σ = 85672252803456. Its totient is φ = 4980498432000.

The previous prime is 21956343359983. The next prime is 21956343360011. The reversal of 21956343360000 is 6334365912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6444478297 + ... + 6444481703.

Almost surely, 2^{21956343360000} is an apocalyptic number.

21956343360000 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 21956343360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42836126401728).

21956343360000 is an abundant number, since it is smaller than the sum of its proper divisors (63715909443456).

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

21956343360000 is an equidigital number, since it uses as much as digits as its factorization.

21956343360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 21956343360000 in words is "twenty-one trillion, nine hundred fifty-six billion, three hundred forty-three million, three hundred sixty thousand".