544949260800 has 960 divisors, whose sum is σ = 2132534342400. Its totient is φ = 120076369920.

The previous prime is 544949260753. The next prime is 544949260871. The reversal of 544949260800 is 8062949445.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561459026 + ... + 1561459374.

It is an arithmetic number, because the mean of its divisors is an integer number (2221389940).

Almost surely, 2^544949260800 is an apocalyptic number.

544949260800 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 544949260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066267171200).

544949260800 is an abundant number, since it is smaller than the sum of its proper divisors (1587585081600).

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

544949260800 is a wasteful number, since it uses less digits than its factorization.

544949260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 544949260800 in words is "five hundred forty-four billion, nine hundred forty-nine million, two hundred sixty thousand, eight hundred".