891855444480 has 960 divisors, whose sum is σ = 3896712344448. Its totient is φ = 171054858240.

The previous prime is 891855444461. The next prime is 891855444527. The reversal of 891855444480 is 84444558198.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×891855444480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 53805474 + ... + 53822046.

Almost surely, 2^891855444480 is an apocalyptic number.

891855444480 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 891855444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948356172224).

891855444480 is an abundant number, since it is smaller than the sum of its proper divisors (3004856899968).

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

891855444480 is a wasteful number, since it uses less digits than its factorization.

891855444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16637 (or 16614 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 891855444480 in words is "eight hundred ninety-one billion, eight hundred fifty-five million, four hundred forty-four thousand, four hundred eighty".