83268712800 has 1152 divisors, whose sum is σ = 375945937920. Its totient is φ = 17535191040.

The previous prime is 83268712763. The next prime is 83268712829. The reversal of 83268712800 is 821786238.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159213339 + ... + 159213861.

It is an arithmetic number, because the mean of its divisors is an integer number (326341960).

Almost surely, 2^83268712800 is an apocalyptic number.

83268712800 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 83268712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187972968960).

83268712800 is an abundant number, since it is smaller than the sum of its proper divisors (292677225120).

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

83268712800 is a wasteful number, since it uses less digits than its factorization.

83268712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 83268712800 in words is "eighty-three billion, two hundred sixty-eight million, seven hundred twelve thousand, eight hundred".