20626912051200 has 3420 divisors, whose sum is σ = 97299528168612. Its totient is φ = 4280706662400.

The previous prime is 20626912051199. The next prime is 20626912051259. The reversal of 20626912051200 is 215021962602.

20626912051200 is a `hidden beast` number, since 2 + 0 + 62 + 69 + 1 + 20 + 512 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7341411926016 + 13285500125184 = 2709504^2 + 3644928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 338146099170 + ... + 338146099230.

Almost surely, 2^{20626912051200} is an apocalyptic number.

20626912051200 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 20626912051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48649764084306).

20626912051200 is an abundant number, since it is smaller than the sum of its proper divisors (76672616117412).

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

20626912051200 is an frugal number, since it uses more digits than its factorization.

20626912051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20626912051200 in words is "twenty trillion, six hundred twenty-six billion, nine hundred twelve million, fifty-one thousand, two hundred".