83700848160 has 288 divisors, whose sum is σ = 295840097280. Its totient is φ = 21527193600.

The previous prime is 83700848159. The next prime is 83700848171. The reversal of 83700848160 is 6184800738.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13880026 + ... + 13886054.

It is an arithmetic number, because the mean of its divisors is an integer number (1027222560).

Almost surely, 2^83700848160 is an apocalyptic number.

83700848160 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 83700848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147920048640).

83700848160 is an abundant number, since it is smaller than the sum of its proper divisors (212139249120).

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

83700848160 is a wasteful number, since it uses less digits than its factorization.

83700848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6381 counting only the distinct ones).

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

The spelling of 83700848160 in words is "eighty-three billion, seven hundred million, eight hundred forty-eight thousand, one hundred sixty".