54831907200 has 384 divisors, whose sum is σ = 213069219840. Its totient is φ = 12128256000.

The previous prime is 54831907171. The next prime is 54831907201. The reversal of 54831907200 is 270913845.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54831907201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2070040 + ... + 2096360.

It is an arithmetic number, because the mean of its divisors is an integer number (554867760).

Almost surely, 2^54831907200 is an apocalyptic number.

54831907200 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 54831907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106534609920).

54831907200 is an abundant number, since it is smaller than the sum of its proper divisors (158237312640).

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

54831907200 is a wasteful number, since it uses less digits than its factorization.

54831907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26386 (or 26369 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 54831907200 in words is "fifty-four billion, eight hundred thirty-one million, nine hundred seven thousand, two hundred".