20388984100 has 81 divisors (see below), whose sum is σ = 44997198771. Its totient is φ = 8019086400.

The previous prime is 20388984097. The next prime is 20388984127. The reversal of 20388984100 is 148988302.

The square root of 20388984100 is 142790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 74753316 + 20314230784 = 8646^2 + 142528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155641035 + ... + 155641165.

Almost surely, 2^20388984100 is an apocalyptic number.

20388984100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20388984100 is the 142790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20388984100

20388984100 is an abundant number, since it is smaller than the sum of its proper divisors (24608214671).

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

20388984100 is a wasteful number, since it uses less digits than its factorization.

20388984100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 20388984100 in words is "twenty billion, three hundred eighty-eight million, nine hundred eighty-four thousand, one hundred".