83452723200 has 1536 divisors, whose sum is σ = 390064320000. Its totient is φ = 17340825600.

The previous prime is 83452723181. The next prime is 83452723243. The reversal of 83452723200 is 232725438.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×83452723200³ (a number of 34 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7586611195 + ... + 7586611205.

It is an arithmetic number, because the mean of its divisors is an integer number (253948125).

Almost surely, 2^83452723200 is an apocalyptic number.

83452723200 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 83452723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195032160000).

83452723200 is an abundant number, since it is smaller than the sum of its proper divisors (306611596800).

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

83452723200 is an equidigital number, since it uses as much as digits as its factorization.

83452723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 83452723200 in words is "eighty-three billion, four hundred fifty-two million, seven hundred twenty-three thousand, two hundred".