54295761888 has 240 divisors, whose sum is σ = 165218462640. Its totient is φ = 17478457344.

The previous prime is 54295761887. The next prime is 54295761917. The reversal of 54295761888 is 88816759245.

54295761888 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 5 + 7 + 618 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54295761887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13328620 + ... + 13332692.

It is an arithmetic number, because the mean of its divisors is an integer number (688410261).

Almost surely, 2^54295761888 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 54295761888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82609231320).

54295761888 is an abundant number, since it is smaller than the sum of its proper divisors (110922700752).

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

54295761888 is a wasteful number, since it uses less digits than its factorization.

54295761888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4254 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 54295761888 in words is "fifty-four billion, two hundred ninety-five million, seven hundred sixty-one thousand, eight hundred eighty-eight".