21253388083200 has 4536 divisors, whose sum is σ = 103115169769248. Its totient is φ = 4248219156480.

The previous prime is 21253388083139. The next prime is 21253388083241. The reversal of 21253388083200 is 238088335212.

21253388083200 is a `hidden beast` number, since 2 + 1 + 2 + 533 + 8 + 80 + 8 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1118599372791 + ... + 1118599372809.

Almost surely, 2^{21253388083200} is an apocalyptic number.

21253388083200 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 21253388083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51557584884624).

21253388083200 is an abundant number, since it is smaller than the sum of its proper divisors (81861781686048).

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

21253388083200 is an equidigital number, since it uses as much as digits as its factorization.

21253388083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21253388083200 in words is "twenty-one trillion, two hundred fifty-three billion, three hundred eighty-eight million, eighty-three thousand, two hundred".