83525204160 has 560 divisors, whose sum is σ = 303713388000. Its totient is φ = 21875318784.

The previous prime is 83525204131. The next prime is 83525204177. The reversal of 83525204160 is 6140252538.

83525204160 is a `hidden beast` number, since 8 + 35 + 2 + 520 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 560571766 + ... + 560571914.

Almost surely, 2^83525204160 is an apocalyptic number.

83525204160 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 83525204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856694000).

83525204160 is an abundant number, since it is smaller than the sum of its proper divisors (220188183840).

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

83525204160 is an frugal number, since it uses more digits than its factorization.

83525204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 83525204160 its reverse (6140252538), we get a palindrome (89665456698).

The spelling of 83525204160 in words is "eighty-three billion, five hundred twenty-five million, two hundred four thousand, one hundred sixty".