21401022553200 has 360 divisors, whose sum is σ = 78704629911648. Its totient is φ = 5366560849920.

The previous prime is 21401022553147. The next prime is 21401022553291. The reversal of 21401022553200 is 235522010412.

21401022553200 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 102 + 2 + 553 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 70411957 + ... + 70715243.

Almost surely, 2^{21401022553200} is an apocalyptic number.

21401022553200 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 21401022553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352314955824).

21401022553200 is an abundant number, since it is smaller than the sum of its proper divisors (57303607358448).

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

21401022553200 is a wasteful number, since it uses less digits than its factorization.

21401022553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304481 (or 304467 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 21401022553200 its reverse (235522010412), we get a palindrome (21636544563612).

The spelling of 21401022553200 in words is "twenty-one trillion, four hundred one billion, twenty-two million, five hundred fifty-three thousand, two hundred".