20277675421200 has 960 divisors, whose sum is σ = 77092361011200. Its totient is φ = 5047805952000.

The previous prime is 20277675421183. The next prime is 20277675421319. The reversal of 20277675421200 is 212457677202.

20277675421200 is a `hidden beast` number, since 2 + 0 + 27 + 7 + 67 + 542 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×20277675421200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3935117824 + ... + 3935122976.

It is an arithmetic number, because the mean of its divisors is an integer number (80304542720).

Almost surely, 2^{20277675421200} is an apocalyptic number.

20277675421200 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 20277675421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38546180505600).

20277675421200 is an abundant number, since it is smaller than the sum of its proper divisors (56814685590000).

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

20277675421200 is a wasteful number, since it uses less digits than its factorization.

20277675421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 20277675421200 in words is "twenty trillion, two hundred seventy-seven billion, six hundred seventy-five million, four hundred twenty-one thousand, two hundred".