20259915144 has 128 divisors (see below), whose sum is σ = 59732640000. Its totient is φ = 5723300352.

The previous prime is 20259915103. The next prime is 20259915149. The reversal of 20259915144 is 44151995202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20259915096 and 20259915105.

It is not an unprimeable number, because it can be changed into a prime (20259915149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 718822 + ... + 746474.

It is an arithmetic number, because the mean of its divisors is an integer number (466661250).

Almost surely, 2^20259915144 is an apocalyptic number.

20259915144 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 20259915144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29866320000).

20259915144 is an abundant number, since it is smaller than the sum of its proper divisors (39472724856).

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

20259915144 is a wasteful number, since it uses less digits than its factorization.

20259915144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27772 (or 27754 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 20259915144 in words is "twenty billion, two hundred fifty-nine million, nine hundred fifteen thousand, one hundred forty-four".