541165363200 has 2688 divisors, whose sum is σ = 2621112238080. Its totient is φ = 106168320000.

The previous prime is 541165363163. The next prime is 541165363213. The reversal of 541165363200 is 2363561145.

541165363200 is a `hidden beast` number, since 5 + 4 + 1 + 16 + 5 + 3 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13199155180 + ... + 13199155220.

It is an arithmetic number, because the mean of its divisors is an integer number (975116160).

Almost surely, 2^541165363200 is an apocalyptic number.

541165363200 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 541165363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310556119040).

541165363200 is an abundant number, since it is smaller than the sum of its proper divisors (2079946874880).

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

541165363200 is a wasteful number, since it uses less digits than its factorization.

541165363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 541165363200 in words is "five hundred forty-one billion, one hundred sixty-five million, three hundred sixty-three thousand, two hundred".