21154304000 has 208 divisors, whose sum is σ = 53565208320. Its totient is φ = 8338636800.

The previous prime is 21154303997. The next prime is 21154304023. The reversal of 21154304000 is 40345112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40447739 + ... + 40448261.

It is an arithmetic number, because the mean of its divisors is an integer number (257525040).

Almost surely, 2^21154304000 is an apocalyptic number.

21154304000 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 21154304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782604160).

21154304000 is an abundant number, since it is smaller than the sum of its proper divisors (32410904320).

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

21154304000 is an frugal number, since it uses more digits than its factorization.

21154304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 21154304000 its reverse (40345112), we get a palindrome (21194649112).

The spelling of 21154304000 in words is "twenty-one billion, one hundred fifty-four million, three hundred four thousand".