84841585920 has 1152 divisors, whose sum is σ = 378280627200. Its totient is φ = 17528389632.

The previous prime is 84841585889. The next prime is 84841585937. The reversal of 84841585920 is 2958514848.

84841585920 is a `hidden beast` number, since 8 + 4 + 8 + 41 + 5 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 166682626 + ... + 166683134.

It is an arithmetic number, because the mean of its divisors is an integer number (328368600).

Almost surely, 2^84841585920 is an apocalyptic number.

84841585920 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 84841585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189140313600).

84841585920 is an abundant number, since it is smaller than the sum of its proper divisors (293439041280).

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

84841585920 is a wasteful number, since it uses less digits than its factorization.

84841585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

It can be divided in two parts, 84841 and 585920, that added together give a square (670761 = 819²).

The spelling of 84841585920 in words is "eighty-four billion, eight hundred forty-one million, five hundred eighty-five thousand, nine hundred twenty".