83960985600 has 864 divisors, whose sum is σ = 319231130400. Its totient is φ = 21056716800.

The previous prime is 83960985557. The next prime is 83960985637. The reversal of 83960985600 is 658906938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 815155149 + ... + 815155251.

It is an arithmetic number, because the mean of its divisors is an integer number (369480475).

Almost surely, 2^83960985600 is an apocalyptic number.

83960985600 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 83960985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159615565200).

83960985600 is an abundant number, since it is smaller than the sum of its proper divisors (235270144800).

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

83960985600 is a wasteful number, since it uses less digits than its factorization.

83960985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 83960985600 in words is "eighty-three billion, nine hundred sixty million, nine hundred eighty-five thousand, six hundred".