83481931653120 has 7168 divisors, whose sum is σ = 433329039360000. Its totient is φ = 15169754234880.

The previous prime is 83481931653103. The next prime is 83481931653179. The reversal of 83481931653120 is 2135613918438.

It is a happy number.

83481931653120 is a `hidden beast` number, since 8 + 3 + 4 + 8 + 1 + 9 + 316 + 5 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 4393785876471 + ... + 4393785876489.

It is an arithmetic number, because the mean of its divisors is an integer number (60453270000).

Almost surely, 2^{83481931653120} is an apocalyptic number.

83481931653120 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 83481931653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216664519680000).

83481931653120 is an abundant number, since it is smaller than the sum of its proper divisors (349847107706880).

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

83481931653120 is an equidigital number, since it uses as much as digits as its factorization.

83481931653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 83481931653120 in words is "eighty-three trillion, four hundred eighty-one billion, nine hundred thirty-one million, six hundred fifty-three thousand, one hundred twenty".