21377433485760 has 448 divisors, whose sum is σ = 75308763239424. Its totient is φ = 5094597427200.

The previous prime is 21377433485711. The next prime is 21377433485797. The reversal of 21377433485760 is 6758433477312.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 21377433485694 and 21377433485703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148940430 + ... + 149083890.

Almost surely, 2^{21377433485760} is an apocalyptic number.

21377433485760 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 21377433485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37654381619712).

21377433485760 is an abundant number, since it is smaller than the sum of its proper divisors (53931329753664).

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

21377433485760 is a wasteful number, since it uses less digits than its factorization.

21377433485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143732 (or 143722 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 60.

The spelling of 21377433485760 in words is "twenty-one trillion, three hundred seventy-seven billion, four hundred thirty-three million, four hundred eighty-five thousand, seven hundred sixty".