90727159680 has 192 divisors, whose sum is σ = 313467991200. Its totient is φ = 24180338688.

The previous prime is 90727159561. The next prime is 90727159693. The reversal of 90727159680 is 8695172709.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14264341 + ... + 14270699.

Almost surely, 2^90727159680 is an apocalyptic number.

90727159680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90727159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156733995600).

90727159680 is an abundant number, since it is smaller than the sum of its proper divisors (222740831520).

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

90727159680 is a wasteful number, since it uses less digits than its factorization.

90727159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 90727159680 in words is "ninety billion, seven hundred twenty-seven million, one hundred fifty-nine thousand, six hundred eighty".