20411193600 has 1296 divisors, whose sum is σ = 91098169344. Its totient is φ = 4257792000.

The previous prime is 20411193587. The next prime is 20411193601. The reversal of 20411193600 is 639111402.

20411193600 is a `hidden beast` number, since 2 + 0 + 41 + 1 + 19 + 3 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (20411193601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 287481565 + ... + 287481635.

Almost surely, 2^20411193600 is an apocalyptic number.

20411193600 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 20411193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45549084672).

20411193600 is an abundant number, since it is smaller than the sum of its proper divisors (70686975744).

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

20411193600 is a wasteful number, since it uses less digits than its factorization.

20411193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 20411193600 in words is "twenty billion, four hundred eleven million, one hundred ninety-three thousand, six hundred".