5040556106355 has 96 divisors (see below), whose sum is σ = 11077462955520. Its totient is φ = 2059271792640.

The previous prime is 5040556106353. The next prime is 5040556106359. The reversal of 5040556106355 is 5536016550405.

5040556106355 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 5 + 5 + 6 + 1 + 0 + 635 + 5 = 666.

5040556106355 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5040556106355 - 2¹ = 5040556106353 is a prime.

It is a super-2 number, since 2×5040556106355² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5040556106355.

It is not an unprimeable number, because it can be changed into a prime (5040556106353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12123582 + ... + 12532451.

It is an arithmetic number, because the mean of its divisors is an integer number (115390239120).

Almost surely, 2^{5040556106355} is an apocalyptic number.

5040556106355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5040556106355 is an abundant number, since it is smaller than the sum of its proper divisors (6036906849165).

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

5040556106355 is a wasteful number, since it uses less digits than its factorization.

5040556106355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24656121 (or 24656118 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 5040556106355 in words is "five trillion, forty billion, five hundred fifty-six million, one hundred six thousand, three hundred fifty-five".