541368921600 has 1920 divisors, whose sum is σ = 2318651596800. Its totient is φ = 123354316800.

The previous prime is 541368921461. The next prime is 541368921617. The reversal of 541368921600 is 6129863145.

541368921600 is a `hidden beast` number, since 5 + 4 + 1 + 36 + 8 + 9 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17463513585 + ... + 17463513615.

It is an arithmetic number, because the mean of its divisors is an integer number (1207631040).

Almost surely, 2^541368921600 is an apocalyptic number.

541368921600 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 541368921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159325798400).

541368921600 is an abundant number, since it is smaller than the sum of its proper divisors (1777282675200).

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

541368921600 is a wasteful number, since it uses less digits than its factorization.

541368921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 541368921600 in words is "five hundred forty-one billion, three hundred sixty-eight million, nine hundred twenty-one thousand, six hundred".