20582118144 has 720 divisors, whose sum is σ = 78352243200. Its totient is φ = 5231443968.

The previous prime is 20582118101. The next prime is 20582118149. The reversal of 20582118144 is 44181128502.

20582118144 is a `hidden beast` number, since 20 + 582 + 1 + 18 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20582118099 and 20582118108.

It is not an unprimeable number, because it can be changed into a prime (20582118149) 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 79 ways as a sum of consecutive naturals, for example, 46883877 + ... + 46884315.

It is an arithmetic number, because the mean of its divisors is an integer number (108822560).

Almost surely, 2^20582118144 is an apocalyptic number.

20582118144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20582118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39176121600).

20582118144 is an abundant number, since it is smaller than the sum of its proper divisors (57770125056).

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

20582118144 is a wasteful number, since it uses less digits than its factorization.

20582118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 20582118144 in words is "twenty billion, five hundred eighty-two million, one hundred eighteen thousand, one hundred forty-four".