890127542080 has 224 divisors, whose sum is σ = 2509909493760. Its totient is φ = 294237757440.

The previous prime is 890127542077. The next prime is 890127542093. The reversal of 890127542080 is 80245721098.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 890127542080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18655534 + ... + 18703186.

Almost surely, 2^890127542080 is an apocalyptic number.

890127542080 is a gapful number since it is divisible by the number (80) 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 890127542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254954746880).

890127542080 is an abundant number, since it is smaller than the sum of its proper divisors (1619781951680).

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

890127542080 is a wasteful number, since it uses less digits than its factorization.

890127542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47977 (or 47967 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 890127542080 in words is "eight hundred ninety billion, one hundred twenty-seven million, five hundred forty-two thousand, eighty".