35199334447872 has 576 divisors, whose sum is σ = 116940030305280. Its totient is φ = 9174471671808.

The previous prime is 35199334447831. The next prime is 35199334447913. The reversal of 35199334447872 is 27874443399153.

It is an interprime number because it is at equal distance from previous prime (35199334447831) and next prime (35199334447913).

It is a junction number, because it is equal to n+sod(n) for n = 35199334447797 and 35199334447806.

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, 366546808 + ... + 366642824.

Almost surely, 2^{35199334447872} is an apocalyptic number.

35199334447872 is a gapful number since it is divisible by the number (32) 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 35199334447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58470015152640).

35199334447872 is an abundant number, since it is smaller than the sum of its proper divisors (81740695857408).

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

35199334447872 is a wasteful number, since it uses less digits than its factorization.

35199334447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96196 (or 96182 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 69.

The spelling of 35199334447872 in words is "thirty-five trillion, one hundred ninety-nine billion, three hundred thirty-four million, four hundred forty-seven thousand, eight hundred seventy-two".