75870853440 has 112 divisors (see below), whose sum is σ = 241075537152. Its totient is φ = 20216641536.

The previous prime is 75870853363. The next prime is 75870853453. The reversal of 75870853440 is 4435807857.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244142 + ... + 1303698.

Almost surely, 2^75870853440 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 75870853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120537768576).

75870853440 is an abundant number, since it is smaller than the sum of its proper divisors (165204683712).

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

75870853440 is a wasteful number, since it uses less digits than its factorization.

75870853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60904 (or 60894 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 75870853440 in words is "seventy-five billion, eight hundred seventy million, eight hundred fifty-three thousand, four hundred forty".