5180677053440 has 176 divisors, whose sum is σ = 14205446879232. Its totient is φ = 1775915974656.

The previous prime is 5180677053421. The next prime is 5180677053449. The reversal of 5180677053440 is 443507760815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5180677053449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 296997359 + ... + 297014801.

Almost surely, 2^{5180677053440} 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 5180677053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102723439616).

5180677053440 is an abundant number, since it is smaller than the sum of its proper divisors (9024769825792).

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

5180677053440 is a wasteful number, since it uses less digits than its factorization.

5180677053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25762 (or 25744 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 5180677053440 in words is "five trillion, one hundred eighty billion, six hundred seventy-seven million, fifty-three thousand, four hundred forty".