90095102520336 has 135 divisors (see below), whose sum is σ = 256362148543293. Its totient is φ = 29537099832960.

The previous prime is 90095102520307. The next prime is 90095102520341. The reversal of 90095102520336 is 63302520159009.

The square root of 90095102520336 is 9491844.

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

90095102520336 is a `hidden beast` number, since 9 + 0 + 0 + 95 + 1 + 0 + 2 + 520 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2929725182736 + 87165377337600 = 1711644^2 + 9336240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90095102520291 and 90095102520300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6948023325 + ... + 6948036291.

Almost surely, 2^{90095102520336} is an apocalyptic number.

90095102520336 is the 9491844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90095102520336

90095102520336 is an abundant number, since it is smaller than the sum of its proper divisors (166267046022957).

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

90095102520336 is an frugal number, since it uses more digits than its factorization.

90095102520336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26070 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 90095102520336 in words is "ninety trillion, ninety-five billion, one hundred two million, five hundred twenty thousand, three hundred thirty-six".