75854527418052 has 288 divisors, whose sum is σ = 203102908968960. Its totient is φ = 23832853067520.

The previous prime is 75854527418027. The next prime is 75854527418107. The reversal of 75854527418052 is 25081472545857.

It is a happy number.

75854527418052 is a `hidden beast` number, since 7 + 5 + 8 + 54 + 527 + 4 + 1 + 8 + 0 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43419877443 + ... + 43419879189.

It is an arithmetic number, because the mean of its divisors is an integer number (705218433920).

Almost surely, 2^{75854527418052} 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 75854527418052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101551454484480).

75854527418052 is an abundant number, since it is smaller than the sum of its proper divisors (127248381550908).

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

75854527418052 is a wasteful number, since it uses less digits than its factorization.

75854527418052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 125440000, while the sum is 63.

The spelling of 75854527418052 in words is "seventy-five trillion, eight hundred fifty-four billion, five hundred twenty-seven million, four hundred eighteen thousand, fifty-two".