83544168960 has 960 divisors, whose sum is σ = 365763911040. Its totient is φ = 17960140800.

The previous prime is 83544168947. The next prime is 83544168971. The reversal of 83544168960 is 6986144538.

83544168960 is a `hidden beast` number, since 8 + 3 + 544 + 1 + 6 + 8 + 96 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 83544168897 and 83544168906.

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, 57576235 + ... + 57577685.

It is an arithmetic number, because the mean of its divisors is an integer number (381004074).

Almost surely, 2^83544168960 is an apocalyptic number.

83544168960 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 83544168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182881955520).

83544168960 is an abundant number, since it is smaller than the sum of its proper divisors (282219742080).

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

83544168960 is a wasteful number, since it uses less digits than its factorization.

83544168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 835441 and 68960, that added together give a square (904401 = 951²).

The spelling of 83544168960 in words is "eighty-three billion, five hundred forty-four million, one hundred sixty-eight thousand, nine hundred sixty".