5175755988480 has 3840 divisors, whose sum is σ = 25120632176640. Its totient is φ = 997199216640.

The previous prime is 5175755988457. The next prime is 5175755988503. The reversal of 5175755988480 is 848895575715.

5175755988480 is a `hidden beast` number, since 5 + 1 + 7 + 5 + 7 + 55 + 98 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5175755988457) and next prime (5175755988503).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5175755988399 and 5175755988408.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 110122467817 + ... + 110122467863.

It is an arithmetic number, because the mean of its divisors is an integer number (6541831296).

Almost surely, 2^{5175755988480} 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 5175755988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12560316088320).

5175755988480 is an abundant number, since it is smaller than the sum of its proper divisors (19944876188160).

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

5175755988480 is an equidigital number, since it uses as much as digits as its factorization.

5175755988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 564480000, while the sum is 72.

The spelling of 5175755988480 in words is "five trillion, one hundred seventy-five billion, seven hundred fifty-five million, nine hundred eighty-eight thousand, four hundred eighty".