75418890625 has 49 divisors (see below), whose sum is σ = 102128438833. Its totient is φ = 55693950000.

The previous prime is 75418890581. The next prime is 75418890637. The reversal of 75418890625 is 52609881457.

It is a happy number.

The square root of 75418890625 is 274625.

The cubic root of 75418890625 is 4225.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 24 ways, for example, as 75365073729 + 53816896 = 274527^2 + 7336^2 .

It is not a de Polignac number, because 75418890625 - 2¹⁷ = 75418759553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 5801453119 + ... + 5801453131.

Almost surely, 2^75418890625 is an apocalyptic number.

75418890625 is the 274625-th square number.

75418890625 is the 137313-rd centered octagonal number.

It is an amenable number.

75418890625 is a deficient number, since it is larger than the sum of its proper divisors (26709548208).

75418890625 is an frugal number, since it uses more digits than its factorization.

75418890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 75418890625 in words is "seventy-five billion, four hundred eighteen million, eight hundred ninety thousand, six hundred twenty-five".