541225215300000 has 2304 divisors, whose sum is σ = 2322283364352000. Its totient is φ = 107011238400000.

The previous prime is 541225215299983. The next prime is 541225215300019. The reversal of 541225215300000 is 3512522145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105728697441 + ... + 105728702559.

It is an arithmetic number, because the mean of its divisors is an integer number (1007935488000).

Almost surely, 2^{541225215300000} is an apocalyptic number.

541225215300000 is a gapful number since it is divisible by the number (50) 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 541225215300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161141682176000).

541225215300000 is an abundant number, since it is smaller than the sum of its proper divisors (1781058149052000).

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

541225215300000 is a wasteful number, since it uses less digits than its factorization.

541225215300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 541225215300000 its reverse (3512522145), we get a palindrome (541228727822145).

The spelling of 541225215300000 in words is "five hundred forty-one trillion, two hundred twenty-five billion, two hundred fifteen million, three hundred thousand".