90180577506260 has 48 divisors (see below), whose sum is σ = 201110668516800. Its totient is φ = 33871270454784.

The previous prime is 90180577506259. The next prime is 90180577506263. The reversal of 90180577506260 is 6260577508109.

It is a junction number, because it is equal to n+sod(n) for n = 90180577506196 and 90180577506205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90180577506263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050033650 + ... + 1050119529.

It is an arithmetic number, because the mean of its divisors is an integer number (4189805594100).

Almost surely, 2^{90180577506260} is an apocalyptic number.

It is an amenable number.

90180577506260 is an abundant number, since it is smaller than the sum of its proper divisors (110930091010540).

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

90180577506260 is a wasteful number, since it uses less digits than its factorization.

90180577506260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100153320 (or 2100153318 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 56.

The spelling of 90180577506260 in words is "ninety trillion, one hundred eighty billion, five hundred seventy-seven million, five hundred six thousand, two hundred sixty".