75125120544 has 120 divisors (see below), whose sum is σ = 221456809728. Its totient is φ = 24983233920.

The previous prime is 75125120537. The next prime is 75125120549. The reversal of 75125120544 is 44502152157.

75125120544 is a `hidden beast` number, since 75 + 1 + 25 + 1 + 20 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75125120499 and 75125120508.

It is not an unprimeable number, because it can be changed into a prime (75125120549) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1083529 + ... + 1150775.

Almost surely, 2^75125120544 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 75125120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110728404864).

75125120544 is an abundant number, since it is smaller than the sum of its proper divisors (146331689184).

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

75125120544 is a wasteful number, since it uses less digits than its factorization.

75125120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67700 (or 67683 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 75125120544 in words is "seventy-five billion, one hundred twenty-five million, one hundred twenty thousand, five hundred forty-four".