54514729871952 has 320 divisors, whose sum is σ = 166881265582080. Its totient is φ = 15011740896768.

The previous prime is 54514729871887. The next prime is 54514729871993. The reversal of 54514729871952 is 25917892741545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4146546243 + ... + 4146559389.

It is an arithmetic number, because the mean of its divisors is an integer number (521503954944).

Almost surely, 2^{54514729871952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54514729871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83440632791040).

54514729871952 is an abundant number, since it is smaller than the sum of its proper divisors (112366535710128).

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

54514729871952 is a wasteful number, since it uses less digits than its factorization.

54514729871952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17198 (or 17192 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 69.

The spelling of 54514729871952 in words is "fifty-four trillion, five hundred fourteen billion, seven hundred twenty-nine million, eight hundred seventy-one thousand, nine hundred fifty-two".