83812556800 has 672 divisors, whose sum is σ = 266206711680. Its totient is φ = 25480396800.

The previous prime is 83812556791. The next prime is 83812556827. The reversal of 83812556800 is 865521838.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463052710 + ... + 463052890.

It is an arithmetic number, because the mean of its divisors is an integer number (396140940).

Almost surely, 2^83812556800 is an apocalyptic number.

83812556800 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 83812556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133103355840).

83812556800 is an abundant number, since it is smaller than the sum of its proper divisors (182394154880).

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

83812556800 is a wasteful number, since it uses less digits than its factorization.

83812556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 83812556800 in words is "eighty-three billion, eight hundred twelve million, five hundred fifty-six thousand, eight hundred".