20404193918976 has 1088 divisors, whose sum is σ = 73225278284800. Its totient is φ = 5485419823104.

The previous prime is 20404193918939. The next prime is 20404193918987. The reversal of 20404193918976 is 67981939140402.

20404193918976 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 419 + 39 + 189 + 7 + 6 = 666.

It is a super-2 number, since 2×20404193918976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65189117796 + ... + 65189118108.

Almost surely, 2^{20404193918976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20404193918976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612639142400).

20404193918976 is an abundant number, since it is smaller than the sum of its proper divisors (52821084365824).

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

20404193918976 is an equidigital number, since it uses as much as digits as its factorization.

20404193918976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 20404193918976 in words is "twenty trillion, four hundred four billion, one hundred ninety-three million, nine hundred eighteen thousand, nine hundred seventy-six".