21263155200 has 648 divisors, whose sum is σ = 87895499328. Its totient is φ = 4812963840.

The previous prime is 21263155129. The next prime is 21263155217. The reversal of 21263155200 is 255136212.

It is a happy number.

21263155200 is a `hidden beast` number, since 2 + 1 + 2 + 631 + 5 + 5 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206438349 + ... + 206438451.

Almost surely, 2^21263155200 is an apocalyptic number.

21263155200 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 21263155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43947749664).

21263155200 is an abundant number, since it is smaller than the sum of its proper divisors (66632344128).

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

21263155200 is an equidigital number, since it uses as much as digits as its factorization.

21263155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 21263155200 in words is "twenty-one billion, two hundred sixty-three million, one hundred fifty-five thousand, two hundred".