90508167478560 has 384 divisors, whose sum is σ = 335579090724864. Its totient is φ = 20292007034880.

The previous prime is 90508167478517. The next prime is 90508167478601. The reversal of 90508167478560 is 6587476180509.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90508167478491 and 90508167478500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10472919 + ... + 17049878.

It is an arithmetic number, because the mean of its divisors is an integer number (873903882096).

Almost surely, 2^{90508167478560} is an apocalyptic number.

It is an amenable number.

90508167478560 is an abundant number, since it is smaller than the sum of its proper divisors (245070923246304).

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

90508167478560 is a wasteful number, since it uses less digits than its factorization.

90508167478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27522876 (or 27522868 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 90508167478560 in words is "ninety trillion, five hundred eight billion, one hundred sixty-seven million, four hundred seventy-eight thousand, five hundred sixty".