89152405056 has 945 divisors, whose sum is σ = 325769166723. Its totient is φ = 24077813760.

The previous prime is 89152405049. The next prime is 89152405063. The reversal of 89152405056 is 65050425198.

The square root of 89152405056 is 298584.

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

89152405056 is a `hidden beast` number, since 8 + 91 + 52 + 4 + 0 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (89152405049) and next prime (89152405063).

It can be written as a sum of positive squares in 4 ways, for example, as 11431886400 + 77720518656 = 106920^2 + 278784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3074220850 + ... + 3074220878.

Almost surely, 2^89152405056 is an apocalyptic number.

89152405056 is the 298584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89152405056

89152405056 is an abundant number, since it is smaller than the sum of its proper divisors (236616761667).

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

89152405056 is a wasteful number, since it uses less digits than its factorization.

89152405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 89152405056 in words is "eighty-nine billion, one hundred fifty-two million, four hundred five thousand, fifty-six".