35152241300000 has 1152 divisors, whose sum is σ = 102767842437120. Its totient is φ = 11692800000000.

The previous prime is 35152241299979. The next prime is 35152241300129. The reversal of 35152241300000 is 314225153.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166598299895 + ... + 166598300105.

It is an arithmetic number, because the mean of its divisors is an integer number (89208196560).

Almost surely, 2^{35152241300000} 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 35152241300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51383921218560).

35152241300000 is an abundant number, since it is smaller than the sum of its proper divisors (67615601137120).

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

35152241300000 is a wasteful number, since it uses less digits than its factorization.

35152241300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 35152241300000 its reverse (314225153), we get a palindrome (35152555525153).

The spelling of 35152241300000 in words is "thirty-five trillion, one hundred fifty-two billion, two hundred forty-one million, three hundred thousand".