14052800160 has 360 divisors, whose sum is σ = 57694370580. Its totient is φ = 3211923456.

The previous prime is 14052800149. The next prime is 14052800171. The reversal of 14052800160 is 6100825041.

It is an interprime number because it is at equal distance from previous prime (14052800149) and next prime (14052800171).

It can be written as a sum of positive squares in 2 ways, for example, as 13379086224 + 673713936 = 115668^2 + 25956^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 623976 + ... + 646104.

Almost surely, 2^14052800160 is an apocalyptic number.

14052800160 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 14052800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28847185290).

14052800160 is an abundant number, since it is smaller than the sum of its proper divisors (43641570420).

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

14052800160 is a wasteful number, since it uses less digits than its factorization.

14052800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22170 (or 22146 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 14052800160 in words is "fourteen billion, fifty-two million, eight hundred thousand, one hundred sixty".