75852153216 has 640 divisors, whose sum is σ = 265955289600. Its totient is φ = 21015355392.

The previous prime is 75852153203. The next prime is 75852153241. The reversal of 75852153216 is 61235125857.

75852153216 is a `hidden beast` number, since 7 + 5 + 85 + 21 + 532 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 545698875 + ... + 545699013.

It is an arithmetic number, because the mean of its divisors is an integer number (415555140).

Almost surely, 2^75852153216 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 75852153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132977644800).

75852153216 is an abundant number, since it is smaller than the sum of its proper divisors (190103136384).

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

75852153216 is a wasteful number, since it uses less digits than its factorization.

75852153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 75852153216 in words is "seventy-five billion, eight hundred fifty-two million, one hundred fifty-three thousand, two hundred sixteen".