54529402752 has 384 divisors, whose sum is σ = 178255134720. Its totient is φ = 15850598400.

The previous prime is 54529402751. The next prime is 54529402771. The reversal of 54529402752 is 25720492545.

54529402752 is a `hidden beast` number, since 54 + 529 + 4 + 0 + 2 + 75 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54529402698 and 54529402707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54529402751) 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, 49889118 + ... + 49890210.

It is an arithmetic number, because the mean of its divisors is an integer number (464206080).

Almost surely, 2^54529402752 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 54529402752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89127567360).

54529402752 is an abundant number, since it is smaller than the sum of its proper divisors (123725731968).

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

54529402752 is a wasteful number, since it uses less digits than its factorization.

54529402752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 54529402752 in words is "fifty-four billion, five hundred twenty-nine million, four hundred two thousand, seven hundred fifty-two".