54131717159424 has 320 divisors, whose sum is σ = 161034760972800. Its totient is φ = 17953816559616.

The previous prime is 54131717159417. The next prime is 54131717159453. The reversal of 54131717159424 is 42495171713145.

54131717159424 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 17 + 17 + 1 + 594 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4536298162 + ... + 4536310094.

It is an arithmetic number, because the mean of its divisors is an integer number (503233628040).

Almost surely, 2^{54131717159424} is an apocalyptic number.

54131717159424 is a gapful number since it is divisible by the number (54) 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 54131717159424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80517380486400).

54131717159424 is an abundant number, since it is smaller than the sum of its proper divisors (106903043813376).

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

54131717159424 is a wasteful number, since it uses less digits than its factorization.

54131717159424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572 (or 13550 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 54131717159424 in words is "fifty-four trillion, one hundred thirty-one billion, seven hundred seventeen million, one hundred fifty-nine thousand, four hundred twenty-four".