75849873012 has 144 divisors (see below), whose sum is σ = 212441544000. Its totient is φ = 23392147968.

The previous prime is 75849872977. The next prime is 75849873013. The reversal of 75849873012 is 21037894857.

It is a happy number.

75849873012 is a `hidden beast` number, since 75 + 8 + 498 + 73 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75849873012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75849873013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820914 + ... + 1862102.

It is an arithmetic number, because the mean of its divisors is an integer number (1475288500).

Almost surely, 2^75849873012 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 75849873012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106220772000).

75849873012 is an abundant number, since it is smaller than the sum of its proper divisors (136591670988).

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

75849873012 is a wasteful number, since it uses less digits than its factorization.

75849873012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41295 (or 41270 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 75849873012 in words is "seventy-five billion, eight hundred forty-nine million, eight hundred seventy-three thousand, twelve".