14565760000 has 220 divisors, whose sum is σ = 39711881880. Its totient is φ = 5294080000.

The previous prime is 14565759997. The next prime is 14565760039. The reversal of 14565760000 is 6756541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (220).

It is a super-2 number, since 2×14565760000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7038966 + ... + 7041034.

It is an arithmetic number, because the mean of its divisors is an integer number (180508554).

Almost surely, 2^14565760000 is an apocalyptic number.

14565760000 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 14565760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19855940940).

14565760000 is an abundant number, since it is smaller than the sum of its proper divisors (25146121880).

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

14565760000 is an equidigital number, since it uses as much as digits as its factorization.

14565760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 14565760000 in words is "fourteen billion, five hundred sixty-five million, seven hundred sixty thousand".