14075755560 has 384 divisors, whose sum is σ = 50319360000. Its totient is φ = 3528873216.

The previous prime is 14075755553. The next prime is 14075755583. The reversal of 14075755560 is 6555757041.

14075755560 is a `hidden beast` number, since 1 + 40 + 7 + 57 + 5 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36751129 + ... + 36751511.

It is an arithmetic number, because the mean of its divisors is an integer number (131040000).

Almost surely, 2^14075755560 is an apocalyptic number.

14075755560 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 14075755560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680000).

14075755560 is an abundant number, since it is smaller than the sum of its proper divisors (36243604440).

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

14075755560 is a wasteful number, since it uses less digits than its factorization.

14075755560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 14075755560 in words is "fourteen billion, seventy-five million, seven hundred fifty-five thousand, five hundred sixty".