201090313800 has 384 divisors, whose sum is σ = 711029491200. Its totient is φ = 52206336000.

The previous prime is 201090313793. The next prime is 201090313859. The reversal of 201090313800 is 8313090102.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 201694902 + ... + 201695898.

It is an arithmetic number, because the mean of its divisors is an integer number (1851639300).

Almost surely, 2^201090313800 is an apocalyptic number.

201090313800 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 201090313800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355514745600).

201090313800 is an abundant number, since it is smaller than the sum of its proper divisors (509939177400).

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

201090313800 is a wasteful number, since it uses less digits than its factorization.

201090313800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 201090313800 in words is "two hundred one billion, ninety million, three hundred thirteen thousand, eight hundred".