20875014144 has 182 divisors, whose sum is σ = 62597718896. Its totient is φ = 6957342720.

The previous prime is 20875014113. The next prime is 20875014151. The reversal of 20875014144 is 44141057802.

It is a happy number.

20875014144 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 501 + 4 + 144 = 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 = 20875014099 and 20875014108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2982489 + ... + 2989479.

Almost surely, 2^20875014144 is an apocalyptic number.

20875014144 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 20875014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31298859448).

20875014144 is an abundant number, since it is smaller than the sum of its proper divisors (41722704752).

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

20875014144 is an frugal number, since it uses more digits than its factorization.

20875014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 20875014144 in words is "twenty billion, eight hundred seventy-five million, fourteen thousand, one hundred forty-four".