20972995200 has 768 divisors, whose sum is σ = 82642032000. Its totient is φ = 5175705600.

The previous prime is 20972995177. The next prime is 20972995213. The reversal of 20972995200 is 259927902.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160099135 + ... + 160099265.

Almost surely, 2^20972995200 is an apocalyptic number.

20972995200 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 20972995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41321016000).

20972995200 is an abundant number, since it is smaller than the sum of its proper divisors (61669036800).

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

20972995200 is a wasteful number, since it uses less digits than its factorization.

20972995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 20972995200 in words is "twenty billion, nine hundred seventy-two million, nine hundred ninety-five thousand, two hundred".