90582432412959 has 24 divisors (see below), whose sum is σ = 135852517819200. Its totient is φ = 58090782415680.

The previous prime is 90582432412937. The next prime is 90582432412981. The reversal of 90582432412959 is 95921423428509.

90582432412959 is a `hidden beast` number, since 9 + 0 + 582 + 4 + 3 + 2 + 41 + 2 + 9 + 5 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (90582432412937) and next prime (90582432412981).

It is not a de Polignac number, because 90582432412959 - 2¹⁵ = 90582432380191 is a prime.

It is a super-2 number, since 2×90582432412959² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90582432412896 and 90582432412905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90582432413959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640259764 + ... + 640401225.

It is an arithmetic number, because the mean of its divisors is an integer number (5660521575800).

Almost surely, 2^{90582432412959} is an apocalyptic number.

90582432412959 is a deficient number, since it is larger than the sum of its proper divisors (45270085406241).

90582432412959 is a wasteful number, since it uses less digits than its factorization.

90582432412959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280661295 (or 1280661292 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 90582432412959 in words is "ninety trillion, five hundred eighty-two billion, four hundred thirty-two million, four hundred twelve thousand, nine hundred fifty-nine".