75125905920 has 1200 divisors, whose sum is σ = 309749627880. Its totient is φ = 17278894080.

The previous prime is 75125905903. The next prime is 75125905937. The reversal of 75125905920 is 2950952157.

75125905920 is a `hidden beast` number, since 7 + 5 + 1 + 2 + 59 + 0 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75125905903) and next prime (75125905937).

It can be written as a sum of positive squares in 4 ways, for example, as 47845437696 + 27280468224 = 218736^2 + 165168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 2423416305 + ... + 2423416335.

Almost surely, 2^75125905920 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 75125905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154874813940).

75125905920 is an abundant number, since it is smaller than the sum of its proper divisors (234623721960).

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

75125905920 is a wasteful number, since it uses less digits than its factorization.

75125905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 75125905920 in words is "seventy-five billion, one hundred twenty-five million, nine hundred five thousand, nine hundred twenty".