35200000000000 has 408 divisors, whose sum is σ = 95999267184912. Its totient is φ = 12800000000000.

The previous prime is 35199999999991. The next prime is 35200000000001. The reversal of 35200000000000 is 253.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 35199999999896 and 35199999999905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35200000000001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199999999995 + ... + 3200000000005.

Almost surely, 2^{35200000000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35200000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47999633592456).

35200000000000 is an abundant number, since it is smaller than the sum of its proper divisors (60799267184912).

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

35200000000000 is an frugal number, since it uses more digits than its factorization.

35200000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

Adding to 35200000000000 its reverse (253), we get a palindrome (35200000000253).

The spelling of 35200000000000 in words is "thirty-five trillion, two hundred billion", and thus it is an aban number.