201238255680 has 896 divisors, whose sum is σ = 813918412800. Its totient is φ = 41260032000.

The previous prime is 201238255591. The next prime is 201238255681. The reversal of 201238255680 is 86552832102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (201238255681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1332703605 + ... + 1332703755.

Almost surely, 2^201238255680 is an apocalyptic number.

201238255680 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 201238255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406959206400).

201238255680 is an abundant number, since it is smaller than the sum of its proper divisors (612680157120).

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

201238255680 is a wasteful number, since it uses less digits than its factorization.

201238255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 201238255680 in words is "two hundred one billion, two hundred thirty-eight million, two hundred fifty-five thousand, six hundred eighty".