75282609120 has 96 divisors (see below), whose sum is σ = 237545094528. Its totient is φ = 20041087488.

The previous prime is 75282609119. The next prime is 75282609133. The reversal of 75282609120 is 2190628257.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 148167 + ... + 415353.

It is an arithmetic number, because the mean of its divisors is an integer number (2474428068).

Almost surely, 2^75282609120 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 75282609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118772547264).

75282609120 is an abundant number, since it is smaller than the sum of its proper divisors (162262485408).

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

75282609120 is a wasteful number, since it uses less digits than its factorization.

75282609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267792 (or 267784 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 75282609120 in words is "seventy-five billion, two hundred eighty-two million, six hundred nine thousand, one hundred twenty".