75317711099904 has 1440 divisors, whose sum is σ = 298413742667040. Its totient is φ = 18695094534144.

The previous prime is 75317711099857. The next prime is 75317711099933. The reversal of 75317711099904 is 40999011771357.

75317711099904 is a `hidden beast` number, since 7 + 531 + 7 + 7 + 1 + 1 + 0 + 9 + 9 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1796380189 + ... + 1796422115.

It is an arithmetic number, because the mean of its divisors is an integer number (207231765741).

Almost surely, 2^{75317711099904} 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 75317711099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149206871333520).

75317711099904 is an abundant number, since it is smaller than the sum of its proper divisors (223096031567136).

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

75317711099904 is a wasteful number, since it uses less digits than its factorization.

75317711099904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42005 (or 41969 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 63.

The spelling of 75317711099904 in words is "seventy-five trillion, three hundred seventeen billion, seven hundred eleven million, ninety-nine thousand, nine hundred four".