90189060111360 has 2464 divisors, whose sum is σ = 413217007165440. Its totient is φ = 18379137613824.

The previous prime is 90189060111317. The next prime is 90189060111389. The reversal of 90189060111360 is 6311106098109.

90189060111360 is a `hidden beast` number, since 9 + 0 + 1 + 8 + 9 + 0 + 601 + 1 + 1 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8439131937 + ... + 8439142623.

Almost surely, 2^{90189060111360} is an apocalyptic number.

90189060111360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90189060111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206608503582720).

90189060111360 is an abundant number, since it is smaller than the sum of its proper divisors (323027947054080).

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

90189060111360 is a wasteful number, since it uses less digits than its factorization.

90189060111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10773 (or 10740 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 90189060111360 in words is "ninety trillion, one hundred eighty-nine billion, sixty million, one hundred eleven thousand, three hundred sixty".