35482138581120 has 3072 divisors, whose sum is σ = 155550178344960. Its totient is φ = 6713118720000.

The previous prime is 35482138581091. The next prime is 35482138581163. The reversal of 35482138581120 is 2118583128453.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82325147305 + ... + 82325147735.

It is an arithmetic number, because the mean of its divisors is an integer number (50634823680).

Almost surely, 2^{35482138581120} is an apocalyptic number.

35482138581120 is a gapful number since it is divisible by the number (30) 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 35482138581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77775089172480).

35482138581120 is an abundant number, since it is smaller than the sum of its proper divisors (120068039763840).

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

35482138581120 is a wasteful number, since it uses less digits than its factorization.

35482138581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 35482138581120 in words is "thirty-five trillion, four hundred eighty-two billion, one hundred thirty-eight million, five hundred eighty-one thousand, one hundred twenty".