20404136960064 has 1344 divisors, whose sum is σ = 76663698628608. Its totient is φ = 5087453184000.

The previous prime is 20404136960059. The next prime is 20404136960099. The reversal of 20404136960064 is 46006963140402.

20404136960064 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 1 + 36 + 9 + 600 + 6 + 4 = 666.

It is a super-2 number, since 2×20404136960064² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3317203389 + ... + 3317209539.

It is an arithmetic number, because the mean of its divisors is an integer number (57041442432).

Almost surely, 2^{20404136960064} is an apocalyptic number.

20404136960064 is a gapful number since it is divisible by the number (24) 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 20404136960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38331849314304).

20404136960064 is an abundant number, since it is smaller than the sum of its proper divisors (56259561668544).

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

20404136960064 is a wasteful number, since it uses less digits than its factorization.

20404136960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20404136960064 in words is "twenty trillion, four hundred four billion, one hundred thirty-six million, nine hundred sixty thousand, sixty-four".