541363276800 has 396 divisors, whose sum is σ = 2005200587520. Its totient is φ = 139383767040.

The previous prime is 541363276759. The next prime is 541363276819. The reversal of 541363276800 is 8672363145.

541363276800 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 632 + 7 + 6 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6641089 + ... + 6722111.

Almost surely, 2^541363276800 is an apocalyptic number.

541363276800 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 541363276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002600293760).

541363276800 is an abundant number, since it is smaller than the sum of its proper divisors (1463837310720).

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

541363276800 is a wasteful number, since it uses less digits than its factorization.

541363276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81088 (or 81062 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 541363276800 in words is "five hundred forty-one billion, three hundred sixty-three million, two hundred seventy-six thousand, eight hundred".