20075088642048 has 612 divisors, whose sum is σ = 64532812092840. Its totient is φ = 6008293294080.

The previous prime is 20075088642031. The next prime is 20075088642151. The reversal of 20075088642048 is 84024688057002.

20075088642048 is a `hidden beast` number, since 200 + 7 + 5 + 0 + 8 + 8 + 6 + 420 + 4 + 8 = 666.

It is a super-2 number, since 2×20075088642048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20075088641985 and 20075088642003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5923600738 + ... + 5923604126.

Almost surely, 2^{20075088642048} 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 20075088642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32266406046420).

20075088642048 is an abundant number, since it is smaller than the sum of its proper divisors (44457723450792).

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

20075088642048 is an equidigital number, since it uses as much as digits as its factorization.

20075088642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 20075088642048 in words is "twenty trillion, seventy-five billion, eighty-eight million, six hundred forty-two thousand, forty-eight".