21074256000 has 1280 divisors, whose sum is σ = 94265233920. Its totient is φ = 4561920000.

The previous prime is 21074255953. The next prime is 21074256053. The reversal of 21074256000 is 65247012.

21074256000 is a `hidden beast` number, since 2 + 10 + 7 + 42 + 5 + 600 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 208655950 + ... + 208656050.

It is an arithmetic number, because the mean of its divisors is an integer number (73644714).

Almost surely, 2^21074256000 is an apocalyptic number.

21074256000 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 21074256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47132616960).

21074256000 is an abundant number, since it is smaller than the sum of its proper divisors (73190977920).

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

21074256000 is a wasteful number, since it uses less digits than its factorization.

21074256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 21074256000 in words is "twenty-one billion, seventy-four million, two hundred fifty-six thousand".