20004132393900 has 216 divisors, whose sum is σ = 64018881435600. Its totient is φ = 5223524167680.

The previous prime is 20004132393851. The next prime is 20004132393913. The reversal of 20004132393900 is 939323140002.

20004132393900 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 413 + 239 + 3 + 9 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7256176 + ... + 9626024.

It is an arithmetic number, because the mean of its divisors is an integer number (296383710350).

Almost surely, 2^{20004132393900} is an apocalyptic number.

20004132393900 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 20004132393900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32009440717800).

20004132393900 is an abundant number, since it is smaller than the sum of its proper divisors (44014749041700).

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

20004132393900 is a wasteful number, since it uses less digits than its factorization.

20004132393900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370065 (or 2370055 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 20004132393900 in words is "twenty trillion, four billion, one hundred thirty-two million, three hundred ninety-three thousand, nine hundred".