35325151132000 has 192 divisors, whose sum is σ = 89248993561728. Its totient is φ = 13732992000000.

The previous prime is 35325151131997. The next prime is 35325151132009. The reversal of 35325151132000 is 23115152353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35325151132009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42722500 + ... + 43541500.

It is an arithmetic number, because the mean of its divisors is an integer number (464838508134).

Almost surely, 2^{35325151132000} 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 35325151132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44624496780864).

35325151132000 is an abundant number, since it is smaller than the sum of its proper divisors (53923842429728).

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

35325151132000 is a wasteful number, since it uses less digits than its factorization.

35325151132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819330 (or 819312 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 35325151132000 its reverse (23115152353), we get a palindrome (35348266284353).

The spelling of 35325151132000 in words is "thirty-five trillion, three hundred twenty-five billion, one hundred fifty-one million, one hundred thirty-two thousand".