544861900800 has 1248 divisors, whose sum is σ = 2340135936000. Its totient is φ = 121686589440.

The previous prime is 544861900787. The next prime is 544861900823. The reversal of 544861900800 is 8009168445.

544861900800 is a `hidden beast` number, since 5 + 4 + 486 + 1 + 90 + 0 + 80 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 909618901 + ... + 909619499.

Almost surely, 2^544861900800 is an apocalyptic number.

544861900800 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 544861900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170067968000).

544861900800 is an abundant number, since it is smaller than the sum of its proper divisors (1795274035200).

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

544861900800 is a wasteful number, since it uses less digits than its factorization.

544861900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 544861900800 in words is "five hundred forty-four billion, eight hundred sixty-one million, nine hundred thousand, eight hundred".