54392258016 has 144 divisors (see below), whose sum is σ = 161663720400. Its totient is φ = 17324826624.

The previous prime is 54392257991. The next prime is 54392258027. The reversal of 54392258016 is 61085229345.

54392258016 is a `hidden beast` number, since 5 + 4 + 39 + 22 + 580 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776575 + ... + 843713.

It is an arithmetic number, because the mean of its divisors is an integer number (1122664725).

Almost surely, 2^54392258016 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 54392258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80831860200).

54392258016 is an abundant number, since it is smaller than the sum of its proper divisors (107271462384).

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

54392258016 is a wasteful number, since it uses less digits than its factorization.

54392258016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67281 (or 67270 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 54392258016 in words is "fifty-four billion, three hundred ninety-two million, two hundred fifty-eight thousand, sixteen".