890063172096 has 640 divisors, whose sum is σ = 2875864932864. Its totient is φ = 239303393280.

The previous prime is 890063172041. The next prime is 890063172151. The reversal of 890063172096 is 690271360098.

It is an interprime number because it is at equal distance from previous prime (890063172041) and next prime (890063172151).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3213224310 + ... + 3213224586.

Almost surely, 2^890063172096 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 890063172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437932466432).

890063172096 is an abundant number, since it is smaller than the sum of its proper divisors (1985801760768).

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

890063172096 is a wasteful number, since it uses less digits than its factorization.

890063172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 890063172096 in words is "eight hundred ninety billion, sixty-three million, one hundred seventy-two thousand, ninety-six".