83583118080 has 1152 divisors, whose sum is σ = 377927424000. Its totient is φ = 17340825600.

The previous prime is 83583118057. The next prime is 83583118093. The reversal of 83583118080 is 8081138538.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×83583118080² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130394560 + ... + 130395200.

It is an arithmetic number, because the mean of its divisors is an integer number (328062000).

Almost surely, 2^83583118080 is an apocalyptic number.

83583118080 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 83583118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188963712000).

83583118080 is an abundant number, since it is smaller than the sum of its proper divisors (294344305920).

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

83583118080 is a wasteful number, since it uses less digits than its factorization.

83583118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 83583118080 in words is "eighty-three billion, five hundred eighty-three million, one hundred eighteen thousand, eighty".