201514505120 has 96 divisors (see below), whose sum is σ = 491974560000. Its totient is φ = 77951462400.

The previous prime is 201514505113. The next prime is 201514505141. The reversal of 201514505120 is 21505415102.

It is a self number, because there is not a number n which added to its sum of digits gives 201514505120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549881 + ... + 839879.

It is an arithmetic number, because the mean of its divisors is an integer number (5124735000).

Almost surely, 2^201514505120 is an apocalyptic number.

201514505120 is a gapful number since it is divisible by the number (20) 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 201514505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245987280000).

201514505120 is an abundant number, since it is smaller than the sum of its proper divisors (290460054880).

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

201514505120 is a wasteful number, since it uses less digits than its factorization.

201514505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290158 (or 290150 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The spelling of 201514505120 in words is "two hundred one billion, five hundred fourteen million, five hundred five thousand, one hundred twenty".