89946920320 has 32 divisors (see below), whose sum is σ = 215029357920. Its totient is φ = 35978767872.

The previous prime is 89946920299. The next prime is 89946920353. The reversal of 89946920320 is 2302964998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70270392 + ... + 70271671.

It is an arithmetic number, because the mean of its divisors is an integer number (6719667435).

Almost surely, 2^89946920320 is an apocalyptic number.

89946920320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89946920320 is an abundant number, since it is smaller than the sum of its proper divisors (125082437600).

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

89946920320 is a wasteful number, since it uses less digits than its factorization.

89946920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140542082 (or 140542070 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 89946920320 in words is "eighty-nine billion, nine hundred forty-six million, nine hundred twenty thousand, three hundred twenty".