75988578540 has 192 divisors, whose sum is σ = 245437516800. Its totient is φ = 17207024640.

The previous prime is 75988578529. The next prime is 75988578541. The reversal of 75988578540 is 4587588957.

It is not an unprimeable number, because it can be changed into a prime (75988578541) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27721570 + ... + 27724310.

It is an arithmetic number, because the mean of its divisors is an integer number (1278320400).

Almost surely, 2^75988578540 is an apocalyptic number.

75988578540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75988578540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122718758400).

75988578540 is an abundant number, since it is smaller than the sum of its proper divisors (169448938260).

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

75988578540 is a wasteful number, since it uses less digits than its factorization.

75988578540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 66.

The spelling of 75988578540 in words is "seventy-five billion, nine hundred eighty-eight million, five hundred seventy-eight thousand, five hundred forty".