5540635320192 has 384 divisors, whose sum is σ = 18611762520000. Its totient is φ = 1581467037696.

The previous prime is 5540635320173. The next prime is 5540635320229. The reversal of 5540635320192 is 2910235360455.

5540635320192 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 6 + 353 + 201 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 431877234 + ... + 431890062.

Almost surely, 2^{5540635320192} 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 5540635320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305881260000).

5540635320192 is an abundant number, since it is smaller than the sum of its proper divisors (13071127199808).

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

5540635320192 is a wasteful number, since it uses less digits than its factorization.

5540635320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 5540635320192 in words is "five trillion, five hundred forty billion, six hundred thirty-five million, three hundred twenty thousand, one hundred ninety-two".