75283945211232 has 288 divisors, whose sum is σ = 224762242461120. Its totient is φ = 23857302712320.

The previous prime is 75283945211219. The next prime is 75283945211261. The reversal of 75283945211232 is 23211254938257.

75283945211232 is a `hidden beast` number, since 7 + 5 + 2 + 8 + 3 + 94 + 521 + 1 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750111198 + ... + 750211554.

It is an arithmetic number, because the mean of its divisors is an integer number (780424452990).

Almost surely, 2^{75283945211232} is an apocalyptic number.

75283945211232 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 75283945211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112381121230560).

75283945211232 is an abundant number, since it is smaller than the sum of its proper divisors (149478297249888).

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

75283945211232 is a wasteful number, since it uses less digits than its factorization.

75283945211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101086 (or 101075 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 75283945211232 in words is "seventy-five trillion, two hundred eighty-three billion, nine hundred forty-five million, two hundred eleven thousand, two hundred thirty-two".