5175287108640 has 1440 divisors, whose sum is σ = 21443847828480. Its totient is φ = 1171957248000.

The previous prime is 5175287108567. The next prime is 5175287108647. The reversal of 5175287108640 is 468017825715.

5175287108640 is a `hidden beast` number, since 5 + 1 + 7 + 528 + 7 + 108 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5175287108647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1409774005 + ... + 1409777675.

It is an arithmetic number, because the mean of its divisors is an integer number (14891560992).

Almost surely, 2^{5175287108640} 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 5175287108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10721923914240).

5175287108640 is an abundant number, since it is smaller than the sum of its proper divisors (16268560719840).

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

5175287108640 is a wasteful number, since it uses less digits than its factorization.

5175287108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 5175287108640 in words is "five trillion, one hundred seventy-five billion, two hundred eighty-seven million, one hundred eight thousand, six hundred forty".