13995755424 has 480 divisors, whose sum is σ = 49514129280. Its totient is φ = 3793692672.

The previous prime is 13995755413. The next prime is 13995755437. The reversal of 13995755424 is 42455759931.

13995755424 is a `hidden beast` number, since 1 + 3 + 9 + 95 + 7 + 5 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35253594 + ... + 35253990.

It is an arithmetic number, because the mean of its divisors is an integer number (103154436).

Almost surely, 2^13995755424 is an apocalyptic number.

13995755424 is a gapful number since it is divisible by the number (14) 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 13995755424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24757064640).

13995755424 is an abundant number, since it is smaller than the sum of its proper divisors (35518373856).

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

13995755424 is a wasteful number, since it uses less digits than its factorization.

13995755424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 13995755424 in words is "thirteen billion, nine hundred ninety-five million, seven hundred fifty-five thousand, four hundred twenty-four".