891916497120 has 576 divisors, whose sum is σ = 3247402777920. Its totient is φ = 205320192000.

The previous prime is 891916497077. The next prime is 891916497209. The reversal of 891916497120 is 21794619198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102739180 + ... + 102747860.

It is an arithmetic number, because the mean of its divisors is an integer number (5637852045).

Almost surely, 2^891916497120 is an apocalyptic number.

891916497120 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 891916497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623701388960).

891916497120 is an abundant number, since it is smaller than the sum of its proper divisors (2355486280800).

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

891916497120 is a wasteful number, since it uses less digits than its factorization.

891916497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 891916497120 in words is "eight hundred ninety-one billion, nine hundred sixteen million, four hundred ninety-seven thousand, one hundred twenty".