83883082320 has 360 divisors, whose sum is σ = 309594481560. Its totient is φ = 20325580800.

The previous prime is 83883082237. The next prime is 83883082369. The reversal of 83883082320 is 2328038838.

It is a happy number.

83883082320 is a `hidden beast` number, since 8 + 388 + 30 + 8 + 232 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17239104 + 83865843216 = 4152^2 + 289596^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 6027370 + ... + 6041270.

It is an arithmetic number, because the mean of its divisors is an integer number (859984671).

Almost surely, 2^83883082320 is an apocalyptic number.

83883082320 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 83883082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154797240780).

83883082320 is an abundant number, since it is smaller than the sum of its proper divisors (225711399240).

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

83883082320 is a wasteful number, since it uses less digits than its factorization.

83883082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83883082320 in words is "eighty-three billion, eight hundred eighty-three million, eighty-two thousand, three hundred twenty".