90516499906560 has 1920 divisors, whose sum is σ = 371059354681344. Its totient is φ = 18327766302720.

The previous prime is 90516499906531. The next prime is 90516499906571. The reversal of 90516499906560 is 6560999461509.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94980587044 + ... + 94980587996.

Almost surely, 2^{90516499906560} 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 90516499906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185529677340672).

90516499906560 is an abundant number, since it is smaller than the sum of its proper divisors (280542854774784).

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

90516499906560 is a wasteful number, since it uses less digits than its factorization.

90516499906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 69.

The spelling of 90516499906560 in words is "ninety trillion, five hundred sixteen billion, four hundred ninety-nine million, nine hundred six thousand, five hundred sixty".