20007639540100 has 243 divisors, whose sum is σ = 45986909721669. Its totient is φ = 7555416868800.

The previous prime is 20007639540067. The next prime is 20007639540103. The reversal of 20007639540100 is 104593670002.

The square root of 20007639540100 is 4472990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7202750234436 + 12804889305664 = 2683794^2 + 3578392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20007639540100.

It is not an unprimeable number, because it can be changed into a prime (20007639540103) 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 80 ways as a sum of consecutive naturals, for example, 65171464147 + ... + 65171464453.

Almost surely, 2^{20007639540100} is an apocalyptic number.

20007639540100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20007639540100 is the 4472990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20007639540100

20007639540100 is an abundant number, since it is smaller than the sum of its proper divisors (25979270181569).

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

20007639540100 is an equidigital number, since it uses as much as digits as its factorization.

20007639540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 20007639540100 in words is "twenty trillion, seven billion, six hundred thirty-nine million, five hundred forty thousand, one hundred".