54979171875000 has 800 divisors, whose sum is σ = 201505350459600. Its totient is φ = 13889475000000.

The previous prime is 54979171874917. The next prime is 54979171875007. The reversal of 54979171875000 is 57817197945.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54979171875000 is a `hidden beast` number, since 5 + 49 + 7 + 9 + 1 + 7 + 1 + 87 + 500 + 0 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 54979171875000 = 4750³ + 38000³ = 21375³ + 35625³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54979171875007) by changing a digit.

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 199 ways as a sum of consecutive naturals, for example, 2893640624991 + ... + 2893640625009.

Almost surely, 2^{54979171875000} is an apocalyptic number.

54979171875000 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 54979171875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100752675229800).

54979171875000 is an abundant number, since it is smaller than the sum of its proper divisors (146526178584600).

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

54979171875000 is an frugal number, since it uses more digits than its factorization.

54979171875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 63.

The spelling of 54979171875000 in words is "fifty-four trillion, nine hundred seventy-nine billion, one hundred seventy-one million, eight hundred seventy-five thousand".