541172121600 has 360 divisors, whose sum is σ = 1952144617248. Its totient is φ = 131189964800.

The previous prime is 541172121593. The next prime is 541172121629. The reversal of 541172121600 is 6121271145.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13496782 + ... + 13536818.

Almost surely, 2^541172121600 is an apocalyptic number.

541172121600 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 541172121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976072308624).

541172121600 is an abundant number, since it is smaller than the sum of its proper divisors (1410972495648).

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

541172121600 is a wasteful number, since it uses less digits than its factorization.

541172121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40089 (or 40058 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 541172121600 its reverse (6121271145), we get a palindrome (547293392745).

The spelling of 541172121600 in words is "five hundred forty-one billion, one hundred seventy-two million, one hundred twenty-one thousand, six hundred".