21970272200 has 108 divisors (see below), whose sum is σ = 52425923265. Its totient is φ = 8562557760.

The previous prime is 21970272193. The next prime is 21970272257. The reversal of 21970272200 is 227207912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 21530866756 + 439405444 = 146734^2 + 20962^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=104810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98521289 + ... + 98521511.

Almost surely, 2^21970272200 is an apocalyptic number.

21970272200 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 21970272200

21970272200 is an abundant number, since it is smaller than the sum of its proper divisors (30455651065).

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

21970272200 is an equidigital number, since it uses as much as digits as its factorization.

21970272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

Multiplying 21970272200 by its sum of digits (32), we get a square (703048710400 = 838480²).

The spelling of 21970272200 in words is "twenty-one billion, nine hundred seventy million, two hundred seventy-two thousand, two hundred".