201853480550400 has 5400 divisors, whose sum is σ = 939599120807424. Its totient is φ = 41902512537600.

The previous prime is 201853480550311. The next prime is 201853480550401. The reversal of 201853480550400 is 4055084358102.

201853480550400 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 53 + 4 + 8 + 0 + 550 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a super-2 number, since 2×201853480550400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201853480550401) 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 359 ways as a sum of consecutive naturals, for example, 3808556236774 + ... + 3808556236826.

Almost surely, 2^{201853480550400} is an apocalyptic number.

201853480550400 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 201853480550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469799560403712).

201853480550400 is an abundant number, since it is smaller than the sum of its proper divisors (737745640257024).

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

201853480550400 is an equidigital number, since it uses as much as digits as its factorization.

201853480550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 201853480550400 in words is "two hundred one trillion, eight hundred fifty-three billion, four hundred eighty million, five hundred fifty thousand, four hundred".