227853542400 has 264 divisors, whose sum is σ = 821531582304. Its totient is φ = 55237017600.

The previous prime is 227853542383. The next prime is 227853542429. The reversal of 227853542400 is 4245358722.

227853542400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709944 + ... + 979656.

Almost surely, 2^227853542400 is an apocalyptic number.

227853542400 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 227853542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410765791152).

227853542400 is an abundant number, since it is smaller than the sum of its proper divisors (593678039904).

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

227853542400 is a wasteful number, since it uses less digits than its factorization.

227853542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269757 (or 269734 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

It can be divided in two parts, 2278535 and 42400, that added together give a triangular number (2320935 = T₂₁₅₄).

The spelling of 227853542400 in words is "two hundred twenty-seven billion, eight hundred fifty-three million, five hundred forty-two thousand, four hundred".