83523854868480 has 1792 divisors, whose sum is σ = 342871602393600. Its totient is φ = 19345736466432.

The previous prime is 83523854868449. The next prime is 83523854868499. The reversal of 83523854868480 is 8486845832538.

83523854868480 is a `hidden beast` number, since 8 + 3 + 5 + 2 + 3 + 85 + 4 + 8 + 68 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83523854868399 and 83523854868408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19797071811 + ... + 19797076029.

It is an arithmetic number, because the mean of its divisors is an integer number (191334599550).

Almost surely, 2^{83523854868480} is an apocalyptic number.

83523854868480 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 83523854868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171435801196800).

83523854868480 is an abundant number, since it is smaller than the sum of its proper divisors (259347747525120).

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

83523854868480 is an equidigital number, since it uses as much as digits as its factorization.

83523854868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 72.

The spelling of 83523854868480 in words is "eighty-three trillion, five hundred twenty-three billion, eight hundred fifty-four million, eight hundred sixty-eight thousand, four hundred eighty".