75523833856 has 135 divisors (see below), whose sum is σ = 160834296441. Its totient is φ = 35457859584.

The previous prime is 75523833851. The next prime is 75523833877. The reversal of 75523833856 is 65833832557.

It is a happy number.

The square root of 75523833856 is 274816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1330790400 + 74193043456 = 36480^2 + 272384^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75523833797 and 75523833806.

It is not an unprimeable number, because it can be changed into a prime (75523833851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 668352456 + ... + 668352568.

Almost surely, 2^75523833856 is an apocalyptic number.

75523833856 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

75523833856 is the 274816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75523833856

75523833856 is an abundant number, since it is smaller than the sum of its proper divisors (85310462585).

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

75523833856 is an frugal number, since it uses more digits than its factorization.

75523833856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 134 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 55.

The spelling of 75523833856 in words is "seventy-five billion, five hundred twenty-three million, eight hundred thirty-three thousand, eight hundred fifty-six".