90772141567765 has 8 divisors (see below), whose sum is σ = 124487508435840. Its totient is φ = 62243754217872.

The previous prime is 90772141567697. The next prime is 90772141567787. The reversal of 90772141567765 is 56776514127709.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90772141567765 - 2²⁹ = 90771604696853 is a prime.

It is a super-6 number, since 6×90772141567765⁶ (a number of 85 digits) contains 666666 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90772141567765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296744879505 + ... + 1296744879574.

It is an arithmetic number, because the mean of its divisors is an integer number (15560938554480).

Almost surely, 2^{90772141567765} is an apocalyptic number.

It is an amenable number.

90772141567765 is a deficient number, since it is larger than the sum of its proper divisors (33715366868075).

90772141567765 is a wasteful number, since it uses less digits than its factorization.

90772141567765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593489759091.

The product of its (nonzero) digits is 155584800, while the sum is 67.

The spelling of 90772141567765 in words is "ninety trillion, seven hundred seventy-two billion, one hundred forty-one million, five hundred sixty-seven thousand, seven hundred sixty-five".