90772141567705 has 16 divisors (see below), whose sum is σ = 119801399284224. Its totient is φ = 65605528175040.

The previous prime is 90772141567697. The next prime is 90772141567787. The reversal of 90772141567705 is 50776514127709.

It is not a de Polignac number, because 90772141567705 - 2³ = 90772141567697 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14856321261 + ... + 14856327370.

It is an arithmetic number, because the mean of its divisors is an integer number (7487587455264).

Almost surely, 2^{90772141567705} is an apocalyptic number.

It is an amenable number.

90772141567705 is a deficient number, since it is larger than the sum of its proper divisors (29029257716519).

90772141567705 is a wasteful number, since it uses less digits than its factorization.

90772141567705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29712648696.

The product of its (nonzero) digits is 25930800, while the sum is 61.

The spelling of 90772141567705 in words is "ninety trillion, seven hundred seventy-two billion, one hundred forty-one million, five hundred sixty-seven thousand, seven hundred five".