20007643210400 has 72 divisors (see below), whose sum is σ = 48844289952864. Its totient is φ = 8002953900800.

The previous prime is 20007643210391. The next prime is 20007643210403. The reversal of 20007643210400 is 401234670002.

It is not an unprimeable number, because it can be changed into a prime (20007643210403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102785165 + ... + 102979635.

It is an arithmetic number, because the mean of its divisors is an integer number (678392916012).

Almost surely, 2^{20007643210400} is an apocalyptic number.

20007643210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20007643210400 is an abundant number, since it is smaller than the sum of its proper divisors (28836646742464).

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

20007643210400 is a wasteful number, since it uses less digits than its factorization.

20007643210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323094 (or 323081 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 20007643210400 its reverse (401234670002), we get a palindrome (20408877880402).

The spelling of 20007643210400 in words is "twenty trillion, seven billion, six hundred forty-three million, two hundred ten thousand, four hundred".