225541053540 has 576 divisors, whose sum is σ = 787095429120. Its totient is φ = 51791201280.

The previous prime is 225541053499. The next prime is 225541053593. The reversal of 225541053540 is 45350145522.

225541053540 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 4 + 105 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225541053495 and 225541053504.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 628247881 + ... + 628248239.

It is an arithmetic number, because the mean of its divisors is an integer number (1366485120).

Almost surely, 2^225541053540 is an apocalyptic number.

225541053540 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 225541053540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393547714560).

225541053540 is an abundant number, since it is smaller than the sum of its proper divisors (561554375580).

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

225541053540 is a wasteful number, since it uses less digits than its factorization.

225541053540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 225541053540 in words is "two hundred twenty-five billion, five hundred forty-one million, fifty-three thousand, five hundred forty".