21312480000 has 360 divisors, whose sum is σ = 81018665728. Its totient is φ = 4870656000.

The previous prime is 21312479999. The next prime is 21312480011. The reversal of 21312480000 is 8421312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3356829 + ... + 3363171.

Almost surely, 2^21312480000 is an apocalyptic number.

21312480000 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 21312480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40509332864).

21312480000 is an abundant number, since it is smaller than the sum of its proper divisors (59706185728).

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

21312480000 is an frugal number, since it uses more digits than its factorization.

21312480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 21312480000 in words is "twenty-one billion, three hundred twelve million, four hundred eighty thousand".