90084127580160 has 1792 divisors, whose sum is σ = 359829186969600. Its totient is φ = 18779052441600.

The previous prime is 90084127580119. The next prime is 90084127580173. The reversal of 90084127580160 is 6108572148009.

It is a tau number, because it is divible by the number of its divisors (1792).

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, 136284610230 + ... + 136284610890.

Almost surely, 2^{90084127580160} 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 90084127580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179914593484800).

90084127580160 is an abundant number, since it is smaller than the sum of its proper divisors (269745059389440).

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

90084127580160 is a wasteful number, since it uses less digits than its factorization.

90084127580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 90084127580160 in words is "ninety trillion, eighty-four billion, one hundred twenty-seven million, five hundred eighty thousand, one hundred sixty".