35412449082060 has 192 divisors, whose sum is σ = 106210940129280. Its totient is φ = 8796230277120.

The previous prime is 35412449082011. The next prime is 35412449082119. The reversal of 35412449082060 is 6028094421453.

It is a super-2 number, since 2×35412449082060² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5733630 + ... + 10183290.

It is an arithmetic number, because the mean of its divisors is an integer number (553181979840).

Almost surely, 2^{35412449082060} is an apocalyptic number.

35412449082060 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 35412449082060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53105470064640).

35412449082060 is an abundant number, since it is smaller than the sum of its proper divisors (70798491047220).

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

35412449082060 is a wasteful number, since it uses less digits than its factorization.

35412449082060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449848 (or 4449846 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 35412449082060 in words is "thirty-five trillion, four hundred twelve billion, four hundred forty-nine million, eighty-two thousand, sixty".