14787505920 has 576 divisors, whose sum is σ = 55608311808. Its totient is φ = 3311616000.

The previous prime is 14787505847. The next prime is 14787505921. The reversal of 14787505920 is 2950578741.

14787505920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14787505920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14787505921) 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 63 ways as a sum of consecutive naturals, for example, 30116875 + ... + 30117365.

It is an arithmetic number, because the mean of its divisors is an integer number (96542208).

Almost surely, 2^14787505920 is an apocalyptic number.

14787505920 is a gapful number since it is divisible by the number (10) 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 14787505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27804155904).

14787505920 is an abundant number, since it is smaller than the sum of its proper divisors (40820805888).

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

14787505920 is a wasteful number, since it uses less digits than its factorization.

14787505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 14787505920 in words is "fourteen billion, seven hundred eighty-seven million, five hundred five thousand, nine hundred twenty".