201055143250500 has 768 divisors, whose sum is σ = 744053858795520. Its totient is φ = 40977137088000.

The previous prime is 201055143250487. The next prime is 201055143250517. The reversal of 201055143250500 is 5052341550102.

201055143250500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1332448059 + ... + 1332598941.

It is an arithmetic number, because the mean of its divisors is an integer number (968820128640).

Almost surely, 2^{201055143250500} is an apocalyptic number.

201055143250500 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 201055143250500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372026929397760).

201055143250500 is an abundant number, since it is smaller than the sum of its proper divisors (542998715545020).

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

201055143250500 is a wasteful number, since it uses less digits than its factorization.

201055143250500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151145 (or 151133 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 201055143250500 in words is "two hundred one trillion, fifty-five billion, one hundred forty-three million, two hundred fifty thousand, five hundred".