201626505600 has 768 divisors, whose sum is σ = 736265376000. Its totient is φ = 48193044480.

The previous prime is 201626505583. The next prime is 201626505701. The reversal of 201626505600 is 6505626102.

It is a happy number.

201626505600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023484702 + ... + 1023484898.

It is an arithmetic number, because the mean of its divisors is an integer number (958678875).

Almost surely, 2^201626505600 is an apocalyptic number.

201626505600 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 201626505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368132688000).

201626505600 is an abundant number, since it is smaller than the sum of its proper divisors (534638870400).

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

201626505600 is a wasteful number, since it uses less digits than its factorization.

201626505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 201626505600 in words is "two hundred one billion, six hundred twenty-six million, five hundred five thousand, six hundred".