21274724000 has 192 divisors, whose sum is σ = 55329910272. Its totient is φ = 8022784000.

The previous prime is 21274723999. The next prime is 21274724063. The reversal of 21274724000 is 42747212.

It is a super-2 number, since 2×21274724000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6530372 + ... + 6533628.

It is an arithmetic number, because the mean of its divisors is an integer number (288176616).

Almost surely, 2^21274724000 is an apocalyptic number.

21274724000 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 21274724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27664955136).

21274724000 is an abundant number, since it is smaller than the sum of its proper divisors (34055186272).

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

21274724000 is a wasteful number, since it uses less digits than its factorization.

21274724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The spelling of 21274724000 in words is "twenty-one billion, two hundred seventy-four million, seven hundred twenty-four thousand".