20475408248064 has 864 divisors, whose sum is σ = 76464442736640. Its totient is φ = 5290154496000.

The previous prime is 20475408248063. The next prime is 20475408248069. The reversal of 20475408248064 is 46084280457402.

It is a happy number.

20475408248064 is a `hidden beast` number, since 2 + 0 + 47 + 5 + 40 + 82 + 480 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20475408248064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20475408248063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1118193469 + ... + 1118211779.

Almost surely, 2^{20475408248064} is an apocalyptic number.

20475408248064 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 20475408248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38232221368320).

20475408248064 is an abundant number, since it is smaller than the sum of its proper divisors (55989034488576).

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

20475408248064 is a wasteful number, since it uses less digits than its factorization.

20475408248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556 (or 18525 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 20475408248064 in words is "twenty trillion, four hundred seventy-five billion, four hundred eight million, two hundred forty-eight thousand, sixty-four".