891755425491840 has 3840 divisors, whose sum is σ = 4232777296366080. Its totient is φ = 176723623673856.

The previous prime is 891755425491811. The next prime is 891755425491851. The reversal of 891755425491840 is 48194524557198.

891755425491840 is a `hidden beast` number, since 8 + 9 + 1 + 7 + 5 + 54 + 2 + 5 + 491 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 340754842212 + ... + 340754844828.

It is an arithmetic number, because the mean of its divisors is an integer number (1102285754262).

Almost surely, 2^{891755425491840} is an apocalyptic number.

891755425491840 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 891755425491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116388648183040).

891755425491840 is an abundant number, since it is smaller than the sum of its proper divisors (3341021870874240).

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

891755425491840 is a wasteful number, since it uses less digits than its factorization.

891755425491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 891755425491840 in words is "eight hundred ninety-one trillion, seven hundred fifty-five billion, four hundred twenty-five million, four hundred ninety-one thousand, eight hundred forty".