75983059152 has 1280 divisors, whose sum is σ = 310780108800. Its totient is φ = 17139548160.

The previous prime is 75983059111. The next prime is 75983059153. The reversal of 75983059152 is 25195038957.

75983059152 is a `hidden beast` number, since 7 + 598 + 30 + 5 + 9 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75983059153) 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 255 ways as a sum of consecutive naturals, for example, 915458503 + ... + 915458585.

It is an arithmetic number, because the mean of its divisors is an integer number (242796960).

Almost surely, 2^75983059152 is an apocalyptic number.

75983059152 is a gapful number since it is divisible by the number (72) 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 75983059152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155390054400).

75983059152 is an abundant number, since it is smaller than the sum of its proper divisors (234797049648).

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

75983059152 is a wasteful number, since it uses less digits than its factorization.

75983059152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 75983059152 in words is "seventy-five billion, nine hundred eighty-three million, fifty-nine thousand, one hundred fifty-two".