20953141504 has 81 divisors (see below), whose sum is σ = 42726367173. Its totient is φ = 10255389696.

The previous prime is 20953141501. The next prime is 20953141579. The reversal of 20953141504 is 40514135902.

The square root of 20953141504 is 144752.

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., 14604239104 + 6348902400 = 120848^2 + 79680^2 .

It is a super-3 number, since 3×20953141504³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20953141504.

It is not an unprimeable number, because it can be changed into a prime (20953141501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 192230602 + ... + 192230710.

Almost surely, 2^20953141504 is an apocalyptic number.

20953141504 is the 144752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20953141504

20953141504 is an abundant number, since it is smaller than the sum of its proper divisors (21773225669).

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

20953141504 is an frugal number, since it uses more digits than its factorization.

20953141504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 20953141504 in words is "twenty billion, nine hundred fifty-three million, one hundred forty-one thousand, five hundred four".