20272527979200 has 3780 divisors, whose sum is σ = 94350771298080. Its totient is φ = 4253325189120.

The previous prime is 20272527979183. The next prime is 20272527979243. The reversal of 20272527979200 is 297972527202.

20272527979200 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 2 + 527 + 97 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 84822292681 + ... + 84822292919.

Almost surely, 2^{20272527979200} is an apocalyptic number.

20272527979200 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 20272527979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47175385649040).

20272527979200 is an abundant number, since it is smaller than the sum of its proper divisors (74078243318880).

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

20272527979200 is a wasteful number, since it uses less digits than its factorization.

20272527979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 20272527979200 in words is "twenty trillion, two hundred seventy-two billion, five hundred twenty-seven million, nine hundred seventy-nine thousand, two hundred".