90805352757 has 32 divisors (see below), whose sum is σ = 138785587200. Its totient is φ = 51733140480.

The previous prime is 90805352753. The next prime is 90805352819. The reversal of 90805352757 is 75725350809.

It is a happy number.

It is not a de Polignac number, because 90805352757 - 2² = 90805352753 is a prime.

It is a super-2 number, since 2×90805352757² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90805352753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15677532 + ... + 15683322.

It is an arithmetic number, because the mean of its divisors is an integer number (4337049600).

Almost surely, 2^90805352757 is an apocalyptic number.

It is an amenable number.

90805352757 is a deficient number, since it is larger than the sum of its proper divisors (47980234443).

90805352757 is a wasteful number, since it uses less digits than its factorization.

90805352757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913.

The product of its (nonzero) digits is 2646000, while the sum is 51.

The spelling of 90805352757 in words is "ninety billion, eight hundred five million, three hundred fifty-two thousand, seven hundred fifty-seven".