5540376753540 has 288 divisors, whose sum is σ = 17899999877760. Its totient is φ = 1422619946496.

The previous prime is 5540376753497. The next prime is 5540376753563. The reversal of 5540376753540 is 453576730455.

5540376753540 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 3 + 7 + 67 + 535 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169377867 + ... + 169410573.

Almost surely, 2^{5540376753540} 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 5540376753540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949999938880).

5540376753540 is an abundant number, since it is smaller than the sum of its proper divisors (12359623124220).

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

5540376753540 is a wasteful number, since it uses less digits than its factorization.

5540376753540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33156 (or 33119 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 54.

The spelling of 5540376753540 in words is "five trillion, five hundred forty billion, three hundred seventy-six million, seven hundred fifty-three thousand, five hundred forty".