201256426558800 has 960 divisors, whose sum is σ = 757341667031040. Its totient is φ = 50658315079680.

The previous prime is 201256426558783. The next prime is 201256426558807. The reversal of 201256426558800 is 8855624652102.

201256426558800 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 5 + 6 + 4 + 2 + 6 + 558 + 80 + 0 = 666.

It is a super-3 number, since 3×201256426558800³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201256426558807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19648186479 + ... + 19648196721.

It is an arithmetic number, because the mean of its divisors is an integer number (788897569824).

Almost surely, 2^{201256426558800} is an apocalyptic number.

201256426558800 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 201256426558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378670833515520).

201256426558800 is an abundant number, since it is smaller than the sum of its proper divisors (556085240472240).

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

201256426558800 is a wasteful number, since it uses less digits than its factorization.

201256426558800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11329 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 201256426558800 in words is "two hundred one trillion, two hundred fifty-six billion, four hundred twenty-six million, five hundred fifty-eight thousand, eight hundred".