54051535440 has 240 divisors, whose sum is σ = 216574263360. Its totient is φ = 12354612480.

The previous prime is 54051535403. The next prime is 54051535451. The reversal of 54051535440 is 4453515045.

54051535440 is a `hidden beast` number, since 54 + 0 + 515 + 3 + 54 + 40 = 666.

54051535440 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54051535395 and 54051535404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149506 + ... + 361185.

It is an arithmetic number, because the mean of its divisors is an integer number (902392764).

Almost surely, 2^54051535440 is an apocalyptic number.

It is an amenable number.

54051535440 is an abundant number, since it is smaller than the sum of its proper divisors (162522727920).

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

54051535440 is a wasteful number, since it uses less digits than its factorization.

54051535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510727 (or 510708 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 54051535440 in words is "fifty-four billion, fifty-one million, five hundred thirty-five thousand, four hundred forty".