83048613120 has 1296 divisors, whose sum is σ = 347587269120. Its totient is φ = 18811699200.

The previous prime is 83048613119. The next prime is 83048613157. The reversal of 83048613120 is 2131684038.

83048613120 is a `hidden beast` number, since 8 + 30 + 4 + 8 + 613 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×83048613120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2678987505 + ... + 2678987535.

Almost surely, 2^83048613120 is an apocalyptic number.

83048613120 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 83048613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173793634560).

83048613120 is an abundant number, since it is smaller than the sum of its proper divisors (264538656000).

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

83048613120 is an equidigital number, since it uses as much as digits as its factorization.

83048613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 83048613120 in words is "eighty-three billion, forty-eight million, six hundred thirteen thousand, one hundred twenty".