21464136785360 has 80 divisors (see below), whose sum is σ = 50833197248400. Its totient is φ = 8427221434368.

The previous prime is 21464136785353. The next prime is 21464136785393. The reversal of 21464136785360 is 6358763146412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 576275320384 + 20887861464976 = 759128^2 + 4570324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21464136785296 and 21464136785305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10026845 + ... + 11977724.

It is an arithmetic number, because the mean of its divisors is an integer number (635414965605).

Almost surely, 2^{21464136785360} is an apocalyptic number.

21464136785360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21464136785360 is an abundant number, since it is smaller than the sum of its proper divisors (29369060463040).

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

21464136785360 is a wasteful number, since it uses less digits than its factorization.

21464136785360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22004808 (or 22004802 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 21464136785360 in words is "twenty-one trillion, four hundred sixty-four billion, one hundred thirty-six million, seven hundred eighty-five thousand, three hundred sixty".