54413172131800 has 96 divisors (see below), whose sum is σ = 129605502841920. Its totient is φ = 21232892595200.

The previous prime is 54413172131797. The next prime is 54413172131809. The reversal of 54413172131800 is 813127131445.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54413172131809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118235742 + ... + 118695058.

It is an arithmetic number, because the mean of its divisors is an integer number (1350057321270).

Almost surely, 2^{54413172131800} is an apocalyptic number.

54413172131800 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 54413172131800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64802751420960).

54413172131800 is an abundant number, since it is smaller than the sum of its proper divisors (75192330710120).

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

54413172131800 is a wasteful number, since it uses less digits than its factorization.

54413172131800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473821 (or 473812 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 54413172131800 in words is "fifty-four trillion, four hundred thirteen billion, one hundred seventy-two million, one hundred thirty-one thousand, eight hundred".