75853954656 has 336 divisors, whose sum is σ = 228474162000. Its totient is φ = 24775455744.

The previous prime is 75853954643. The next prime is 75853954679. The reversal of 75853954656 is 65645935857.

It is a happy number.

75853954656 is a `hidden beast` number, since 7 + 5 + 8 + 5 + 39 + 546 + 56 = 666.

Its product of digits (136080000) is a multiple of the sum of its prime divisors (450).

It is a junction number, because it is equal to n+sod(n) for n = 75853954593 and 75853954602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 483146130 + ... + 483146286.

It is an arithmetic number, because the mean of its divisors is an integer number (679982625).

Almost surely, 2^75853954656 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 75853954656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114237081000).

75853954656 is an abundant number, since it is smaller than the sum of its proper divisors (152620207344).

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

75853954656 is a wasteful number, since it uses less digits than its factorization.

75853954656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 75853954656 in words is "seventy-five billion, eight hundred fifty-three million, nine hundred fifty-four thousand, six hundred fifty-six".