83935488000 has 768 divisors, whose sum is σ = 344002014720. Its totient is φ = 17694720000.

The previous prime is 83935487947. The next prime is 83935488079. The reversal of 83935488000 is 88453938.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×83935488000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69887400 + ... + 69888600.

It is an arithmetic number, because the mean of its divisors is an integer number (447919290).

Almost surely, 2^83935488000 is an apocalyptic number.

83935488000 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 83935488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172001007360).

83935488000 is an abundant number, since it is smaller than the sum of its proper divisors (260066526720).

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

83935488000 is a wasteful number, since it uses less digits than its factorization.

83935488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 83935488000 in words is "eighty-three billion, nine hundred thirty-five million, four hundred eighty-eight thousand".