90135077759 has 8 divisors (see below), whose sum is σ = 94882368000. Its totient is φ = 85388121432.

The previous prime is 90135077713. The next prime is 90135077777. The reversal of 90135077759 is 95777053109.

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 90135077759 - 2¹² = 90135073663 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90135077759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90135070759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624752 + ... + 755370.

It is an arithmetic number, because the mean of its divisors is an integer number (11860296000).

Almost surely, 2^90135077759 is an apocalyptic number.

90135077759 is a deficient number, since it is larger than the sum of its proper divisors (4747290241).

90135077759 is a wasteful number, since it uses less digits than its factorization.

90135077759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166957.

The product of its (nonzero) digits is 2083725, while the sum is 53.

The spelling of 90135077759 in words is "ninety billion, one hundred thirty-five million, seventy-seven thousand, seven hundred fifty-nine".