21018418708480 has 256 divisors, whose sum is σ = 50905035804960. Its totient is φ = 8330781130752.

The previous prime is 21018418708471. The next prime is 21018418708481. The reversal of 21018418708480 is 8480781481012.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21018418708481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9835477972 + ... + 9835480108.

Almost surely, 2^{21018418708480} is an apocalyptic number.

21018418708480 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 21018418708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452517902480).

21018418708480 is an abundant number, since it is smaller than the sum of its proper divisors (29886617096480).

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

21018418708480 is an equidigital number, since it uses as much as digits as its factorization.

21018418708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 52.

The spelling of 21018418708480 in words is "twenty-one trillion, eighteen billion, four hundred eighteen million, seven hundred eight thousand, four hundred eighty".