75175969920 has 128 divisors (see below), whose sum is σ = 239751195840. Its totient is φ = 20036235264.

The previous prime is 75175969901. The next prime is 75175969961. The reversal of 75175969920 is 2996957157.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3989962 + ... + 4008758.

Almost surely, 2^75175969920 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 75175969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119875597920).

75175969920 is an abundant number, since it is smaller than the sum of its proper divisors (164575225920).

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

75175969920 is a wasteful number, since it uses less digits than its factorization.

75175969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20902 (or 20890 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 60.

The spelling of 75175969920 in words is "seventy-five billion, one hundred seventy-five million, nine hundred sixty-nine thousand, nine hundred twenty".