90824980970889 has 20 divisors (see below), whose sum is σ = 148011080102160. Its totient is φ = 55045443012120.

The previous prime is 90824980970851. The next prime is 90824980970917. The reversal of 90824980970889 is 98807908942809.

It is a happy number.

It is not a de Polignac number, because 90824980970889 - 2¹⁵ = 90824980938121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (90824980970819) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50968001899 + ... + 50968003680.

It is an arithmetic number, because the mean of its divisors is an integer number (7400554005108).

Almost surely, 2^{90824980970889} is an apocalyptic number.

90824980970889 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90824980970889 is a deficient number, since it is larger than the sum of its proper divisors (57186099131271).

90824980970889 is a wasteful number, since it uses less digits than its factorization.

90824980970889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101936005602 (or 101936005593 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 81.

The spelling of 90824980970889 in words is "ninety trillion, eight hundred twenty-four billion, nine hundred eighty million, nine hundred seventy thousand, eight hundred eighty-nine".