541132125551220 has 192 divisors, whose sum is σ = 1764986724458496. Its totient is φ = 121306035801600.

The previous prime is 541132125551203. The next prime is 541132125551257. The reversal of 541132125551220 is 22155521231145.

It is a super-4 number, since 4×541132125551220⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52020537 + ... + 61549983.

It is an arithmetic number, because the mean of its divisors is an integer number (9192639189888).

Almost surely, 2^{541132125551220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541132125551220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882493362229248).

541132125551220 is an abundant number, since it is smaller than the sum of its proper divisors (1223854598907276).

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

541132125551220 is a wasteful number, since it uses less digits than its factorization.

541132125551220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532070 (or 9532068 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

Adding to 541132125551220 its reverse (22155521231145), we get a palindrome (563287646782365).

The spelling of 541132125551220 in words is "five hundred forty-one trillion, one hundred thirty-two billion, one hundred twenty-five million, five hundred fifty-one thousand, two hundred twenty".