83525223600 has 2160 divisors, whose sum is σ = 401966772480. Its totient is φ = 16460236800.

The previous prime is 83525223583. The next prime is 83525223641. The reversal of 83525223600 is 632252538.

83525223600 is a `hidden beast` number, since 8 + 3 + 5 + 25 + 2 + 23 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 1176411565 + ... + 1176411635.

It is an arithmetic number, because the mean of its divisors is an integer number (186095728).

Almost surely, 2^83525223600 is an apocalyptic number.

83525223600 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 83525223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200983386240).

83525223600 is an abundant number, since it is smaller than the sum of its proper divisors (318441548880).

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

83525223600 is a wasteful number, since it uses less digits than its factorization.

83525223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 83525223600 in words is "eighty-three billion, five hundred twenty-five million, two hundred twenty-three thousand, six hundred".