20057875002 has 72 divisors (see below), whose sum is σ = 48045707892. Its totient is φ = 6042896640.

The previous prime is 20057874943. The next prime is 20057875007.

20057875002 is a `hidden beast` number, since 20 + 0 + 57 + 87 + 500 + 2 = 666.

20057875002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19976712921 + 81162081 = 141339^2 + 9009^2 .

It is a super-3 number, since 3×20057875002³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20057875007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350178 + ... + 403410.

Almost surely, 2^20057875002 is an apocalyptic number.

20057875002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20057875002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022853946).

20057875002 is an abundant number, since it is smaller than the sum of its proper divisors (27987832890).

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

20057875002 is a wasteful number, since it uses less digits than its factorization.

20057875002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53436 (or 53422 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 20057875002 in words is "twenty billion, fifty-seven million, eight hundred seventy-five thousand, two".