90165017340 has 36 divisors (see below), whose sum is σ = 273500553144. Its totient is φ = 24044004576.

The previous prime is 90165017323. The next prime is 90165017359. The reversal of 90165017340 is 4371056109.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90165017295 and 90165017304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250458202 + ... + 250458561.

Almost surely, 2^90165017340 is an apocalyptic number.

90165017340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90165017340 is an abundant number, since it is smaller than the sum of its proper divisors (183335535804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90165017340 is a wasteful number, since it uses less digits than its factorization.

90165017340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500916778 (or 500916773 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 90165017340 in words is "ninety billion, one hundred sixty-five million, seventeen thousand, three hundred forty".