75121214960 has 80 divisors (see below), whose sum is σ = 191367260640. Its totient is φ = 27197445120.

The previous prime is 75121214923. The next prime is 75121214977. The reversal of 75121214960 is 6941212157.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15134 + ... + 387906.

It is an arithmetic number, because the mean of its divisors is an integer number (2392090758).

Almost surely, 2^75121214960 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 75121214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95683630320).

75121214960 is an abundant number, since it is smaller than the sum of its proper divisors (116246045680).

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

75121214960 is a wasteful number, since it uses less digits than its factorization.

75121214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373026 (or 373020 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 75121214960 in words is "seventy-five billion, one hundred twenty-one million, two hundred fourteen thousand, nine hundred sixty".