21418858560 has 336 divisors, whose sum is σ = 78008853888. Its totient is φ = 4966072320.

The previous prime is 21418858519. The next prime is 21418858561. The reversal of 21418858560 is 6585881412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21418858561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667672 + ... + 2675688.

It is an arithmetic number, because the mean of its divisors is an integer number (232169208).

Almost surely, 2^21418858560 is an apocalyptic number.

21418858560 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 21418858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39004426944).

21418858560 is an abundant number, since it is smaller than the sum of its proper divisors (56589995328).

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

21418858560 is a wasteful number, since it uses less digits than its factorization.

21418858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

It can be divided in two parts, 21418 and 858560, that added together give a palindrome (879978).

The spelling of 21418858560 in words is "twenty-one billion, four hundred eighteen million, eight hundred fifty-eight thousand, five hundred sixty".