21438030600 has 576 divisors, whose sum is σ = 87338160000. Its totient is φ = 4603392000.

The previous prime is 21438030577. The next prime is 21438030631. The reversal of 21438030600 is 603083412.

It is a happy number.

21438030600 is a `hidden beast` number, since 21 + 4 + 3 + 8 + 0 + 30 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35670300 + ... + 35670900.

It is an arithmetic number, because the mean of its divisors is an integer number (151628750).

Almost surely, 2^21438030600 is an apocalyptic number.

21438030600 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 21438030600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43669080000).

21438030600 is an abundant number, since it is smaller than the sum of its proper divisors (65900129400).

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

21438030600 is a wasteful number, since it uses less digits than its factorization.

21438030600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 21438030600 in words is "twenty-one billion, four hundred thirty-eight million, thirty thousand, six hundred".