14053876200 has 1152 divisors, whose sum is σ = 63370944000. Its totient is φ = 2763694080.

The previous prime is 14053876163. The next prime is 14053876201. The reversal of 14053876200 is 267835041.

It is a super-2 number, since 2×14053876200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14053876201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136445349 + ... + 136445451.

It is an arithmetic number, because the mean of its divisors is an integer number (55009500).

Almost surely, 2^14053876200 is an apocalyptic number.

14053876200 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 14053876200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685472000).

14053876200 is an abundant number, since it is smaller than the sum of its proper divisors (49317067800).

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

14053876200 is a wasteful number, since it uses less digits than its factorization.

14053876200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14053876200 in words is "fourteen billion, fifty-three million, eight hundred seventy-six thousand, two hundred".