21350056261344 has 96 divisors (see below), whose sum is σ = 60153482783520. Its totient is φ = 6606302625792.

The previous prime is 21350056261333. The next prime is 21350056261349. The reversal of 21350056261344 is 44316265005312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21350056261296 and 21350056261305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21350056261349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89484579 + ... + 89722850.

It is an arithmetic number, because the mean of its divisors is an integer number (626598778995).

Almost surely, 2^{21350056261344} is an apocalyptic number.

21350056261344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21350056261344 is an abundant number, since it is smaller than the sum of its proper divisors (38803426522176).

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

21350056261344 is a wasteful number, since it uses less digits than its factorization.

21350056261344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179207532 (or 179207524 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 21350056261344 in words is "twenty-one trillion, three hundred fifty billion, fifty-six million, two hundred sixty-one thousand, three hundred forty-four".