21256241959800 has 288 divisors, whose sum is σ = 71484702007680. Its totient is φ = 5660464723200.

The previous prime is 21256241959793. The next prime is 21256241959831. The reversal of 21256241959800 is 895914265212.

21256241959800 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 6 + 2 + 41 + 9 + 598 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5790311965 + ... + 5790315635.

It is an arithmetic number, because the mean of its divisors is an integer number (248210770860).

Almost surely, 2^{21256241959800} is an apocalyptic number.

21256241959800 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 21256241959800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35742351003840).

21256241959800 is an abundant number, since it is smaller than the sum of its proper divisors (50228460047880).

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

21256241959800 is a wasteful number, since it uses less digits than its factorization.

21256241959800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7283 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 21256241959800 in words is "twenty-one trillion, two hundred fifty-six billion, two hundred forty-one million, nine hundred fifty-nine thousand, eight hundred".