5177688427755 has 384 divisors, whose sum is σ = 10320249139200. Its totient is φ = 2479758188544.

The previous prime is 5177688427739. The next prime is 5177688427771. The reversal of 5177688427755 is 5577248867715.

5177688427755 is a `hidden beast` number, since 5 + 1 + 7 + 76 + 88 + 427 + 7 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (5177688427739) and next prime (5177688427771).

It is not a de Polignac number, because 5177688427755 - 2⁴ = 5177688427739 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7647988477 + ... + 7647989153.

It is an arithmetic number, because the mean of its divisors is an integer number (26875648800).

Almost surely, 2^{5177688427755} is an apocalyptic number.

5177688427755 is a deficient number, since it is larger than the sum of its proper divisors (5142560711445).

5177688427755 is a wasteful number, since it uses less digits than its factorization.

5177688427755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its digits is 921984000, while the sum is 72.

The spelling of 5177688427755 in words is "five trillion, one hundred seventy-seven billion, six hundred eighty-eight million, four hundred twenty-seven thousand, seven hundred fifty-five".