90888085577501 has 8 divisors (see below), whose sum is σ = 93227213609208. Its totient is φ = 88554783520000.

The previous prime is 90888085577489. The next prime is 90888085577507. The reversal of 90888085577501 is 10577558088809.

It can be written as a sum of positive squares in 4 ways, for example, as 11247632355001 + 79640453222500 = 3353749^2 + 8924150^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90888085577501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90888085577507) 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, 1456461950 + ... + 1456524351.

It is an arithmetic number, because the mean of its divisors is an integer number (11653401701151).

Almost surely, 2^{90888085577501} is an apocalyptic number.

It is an amenable number.

90888085577501 is a deficient number, since it is larger than the sum of its proper divisors (2339128031707).

90888085577501 is a wasteful number, since it uses less digits than its factorization.

90888085577501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912987103.

The product of its (nonzero) digits is 225792000, while the sum is 71.

The spelling of 90888085577501 in words is "ninety trillion, eight hundred eighty-eight billion, eighty-five million, five hundred seventy-seven thousand, five hundred one".