541849996800 has 1200 divisors, whose sum is σ = 2323743436080. Its totient is φ = 123661762560.

The previous prime is 541849996769. The next prime is 541849996817. The reversal of 541849996800 is 8699948145.

541849996800 is a `hidden beast` number, since 54 + 1 + 8 + 499 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 829785274 + ... + 829785926.

Almost surely, 2^541849996800 is an apocalyptic number.

541849996800 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 541849996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161871718040).

541849996800 is an abundant number, since it is smaller than the sum of its proper divisors (1781893439280).

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

541849996800 is an frugal number, since it uses more digits than its factorization.

541849996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 541849996800 in words is "five hundred forty-one billion, eight hundred forty-nine million, nine hundred ninety-six thousand, eight hundred".