14960965200 has 120 divisors (see below), whose sum is σ = 47988157728. Its totient is φ = 3984330240.

The previous prime is 14960965157. The next prime is 14960965241. The reversal of 14960965200 is 256906941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14960965200² (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 23 ways as a sum of consecutive naturals, for example, 948579 + ... + 964221.

Almost surely, 2^14960965200 is an apocalyptic number.

14960965200 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 14960965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23994078864).

14960965200 is an abundant number, since it is smaller than the sum of its proper divisors (33027192528).

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

14960965200 is a wasteful number, since it uses less digits than its factorization.

14960965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16461 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 14960965200 in words is "fourteen billion, nine hundred sixty million, nine hundred sixty-five thousand, two hundred".