90855819264896 has 64 divisors (see below), whose sum is σ = 207122078244480. Its totient is φ = 38888731196928.

The previous prime is 90855819264871. The next prime is 90855819264953. The reversal of 90855819264896 is 69846291855809.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 90855819264896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63717710 + ... + 65128013.

It is an arithmetic number, because the mean of its divisors is an integer number (3236282472570).

Almost surely, 2^{90855819264896} is an apocalyptic number.

It is an amenable number.

90855819264896 is an abundant number, since it is smaller than the sum of its proper divisors (116266258979584).

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

90855819264896 is a wasteful number, since it uses less digits than its factorization.

90855819264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128846531 (or 128846519 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 80.

The spelling of 90855819264896 in words is "ninety trillion, eight hundred fifty-five billion, eight hundred nineteen million, two hundred sixty-four thousand, eight hundred ninety-six".