54013545505440 has 144 divisors (see below), whose sum is σ = 185276257239528. Its totient is φ = 14328981946368.

The previous prime is 54013545505421. The next prime is 54013545505501. The reversal of 54013545505440 is 4450554531045.

54013545505440 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 5 + 4 + 550 + 54 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42053097946896 + 11960447558544 = 6484836^2 + 3458388^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96896709 + ... + 97452548.

Almost surely, 2^{54013545505440} is an apocalyptic number.

It is an amenable number.

54013545505440 is an abundant number, since it is smaller than the sum of its proper divisors (131262711734088).

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

54013545505440 is a wasteful number, since it uses less digits than its factorization.

54013545505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194349471 (or 194349460 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 54013545505440 in words is "fifty-four trillion, thirteen billion, five hundred forty-five million, five hundred five thousand, four hundred forty".