90260181763900 has 144 divisors (see below), whose sum is σ = 212457780269280. Its totient is φ = 33149402521600.

The previous prime is 90260181763877. The next prime is 90260181763903. The reversal of 90260181763900 is 936718106209.

It is a happy number.

It is a super-2 number, since 2×90260181763900² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90260181763903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467781554 + ... + 1467843046.

It is an arithmetic number, because the mean of its divisors is an integer number (1475401251870).

Almost surely, 2^{90260181763900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90260181763900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106228890134640).

90260181763900 is an abundant number, since it is smaller than the sum of its proper divisors (122197598505380).

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

90260181763900 is a wasteful number, since it uses less digits than its factorization.

90260181763900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82624 (or 82617 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 90260181763900 in words is "ninety trillion, two hundred sixty billion, one hundred eighty-one million, seven hundred sixty-three thousand, nine hundred".