14560072000 has 56 divisors (see below), whose sum is σ = 36058038120. Its totient is φ = 5824025600.

The previous prime is 14560071997. The next prime is 14560072003. The reversal of 14560072000 is 27006541.

It is an interprime number because it is at equal distance from previous prime (14560071997) and next prime (14560072003).

It can be written as a sum of positive squares in 4 ways, for example, as 573698304 + 13986373696 = 23952^2 + 118264^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14560072003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902005 + ... + 918004.

Almost surely, 2^14560072000 is an apocalyptic number.

14560072000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14560072000 is an abundant number, since it is smaller than the sum of its proper divisors (21497966120).

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

14560072000 is an equidigital number, since it uses as much as digits as its factorization.

14560072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820036 (or 1820016 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 14560072000 its reverse (27006541), we get a palindrome (14587078541).

The spelling of 14560072000 in words is "fourteen billion, five hundred sixty million, seventy-two thousand".