21246408000 has 896 divisors, whose sum is σ = 85207449600. Its totient is φ = 5163264000.

The previous prime is 21246407947. The next prime is 21246408013. The reversal of 21246408000 is 80464212.

21246408000 is a `hidden beast` number, since 2 + 12 + 4 + 640 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127223917 + ... + 127224083.

It is an arithmetic number, because the mean of its divisors is an integer number (95097600).

Almost surely, 2^21246408000 is an apocalyptic number.

21246408000 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 21246408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42603724800).

21246408000 is an abundant number, since it is smaller than the sum of its proper divisors (63961041600).

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

21246408000 is a wasteful number, since it uses less digits than its factorization.

21246408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 21246408000 in words is "twenty-one billion, two hundred forty-six million, four hundred eight thousand".