21074693600 has 144 divisors (see below), whose sum is σ = 54248871600. Its totient is φ = 7972577280.

The previous prime is 21074693573. The next prime is 21074693659. The reversal of 21074693600 is 639647012.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16248152 + ... + 16249448.

It is an arithmetic number, because the mean of its divisors is an integer number (376728275).

Almost surely, 2^21074693600 is an apocalyptic number.

21074693600 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 21074693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27124435800).

21074693600 is an abundant number, since it is smaller than the sum of its proper divisors (33174178000).

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

21074693600 is a wasteful number, since it uses less digits than its factorization.

21074693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 21074693600 in words is "twenty-one billion, seventy-four million, six hundred ninety-three thousand, six hundred".