891343947520 has 288 divisors, whose sum is σ = 2369392437888. Its totient is φ = 319136661504.

The previous prime is 891343947503. The next prime is 891343947547. The reversal of 891343947520 is 25749343198.

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 31 ways as a sum of consecutive naturals, for example, 195168277 + ... + 195172843.

It is an arithmetic number, because the mean of its divisors is an integer number (8227057076).

Almost surely, 2^891343947520 is an apocalyptic number.

891343947520 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 891343947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184696218944).

891343947520 is an abundant number, since it is smaller than the sum of its proper divisors (1478048490368).

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

891343947520 is a wasteful number, since it uses less digits than its factorization.

891343947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 891343947520 in words is "eight hundred ninety-one billion, three hundred forty-three million, nine hundred forty-seven thousand, five hundred twenty".