20261022144 has 504 divisors, whose sum is σ = 65674640304. Its totient is φ = 5487820800.

The previous prime is 20261022137. The next prime is 20261022163. The reversal of 20261022144 is 44122016202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332147874 + ... + 332147934.

It is an arithmetic number, because the mean of its divisors is an integer number (130306826).

Almost surely, 2^20261022144 is an apocalyptic number.

20261022144 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 20261022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32837320152).

20261022144 is an abundant number, since it is smaller than the sum of its proper divisors (45413618160).

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

20261022144 is a wasteful number, since it uses less digits than its factorization.

20261022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20261022144 its reverse (44122016202), we get a palindrome (64383038346).

The spelling of 20261022144 in words is "twenty billion, two hundred sixty-one million, twenty-two thousand, one hundred forty-four".