54631042800 has 120 divisors (see below), whose sum is σ = 175314445824. Its totient is φ = 14542222080.

The previous prime is 54631042771. The next prime is 54631042853. The reversal of 54631042800 is 824013645.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 635169 + ... + 716031.

Almost surely, 2^54631042800 is an apocalyptic number.

54631042800 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 54631042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87657222912).

54631042800 is an abundant number, since it is smaller than the sum of its proper divisors (120683403024).

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

54631042800 is a wasteful number, since it uses less digits than its factorization.

54631042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81447 (or 81436 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 54631042800 in words is "fifty-four billion, six hundred thirty-one million, forty-two thousand, eight hundred".