54681093504 has 576 divisors, whose sum is σ = 180060510240. Its totient is φ = 15882780672.

The previous prime is 54681093503. The next prime is 54681093547. The reversal of 54681093504 is 40539018645.

54681093504 is a `hidden beast` number, since 5 + 46 + 8 + 10 + 93 + 504 = 666.

54681093504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 54681093504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54681093503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283321632 + ... + 283321824.

Almost surely, 2^54681093504 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 54681093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90030255120).

54681093504 is an abundant number, since it is smaller than the sum of its proper divisors (125379416736).

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

54681093504 is a wasteful number, since it uses less digits than its factorization.

54681093504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

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

The spelling of 54681093504 in words is "fifty-four billion, six hundred eighty-one million, ninety-three thousand, five hundred four".