35643142007200 has 1152 divisors, whose sum is σ = 113447170916352. Its totient is φ = 10627400171520.

The previous prime is 35643142007197. The next prime is 35643142007219. The reversal of 35643142007200 is 270024134653.

It is a self number, because there is not a number n which added to its sum of digits gives 35643142007200.

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, 40183925157 + ... + 40183926043.

It is an arithmetic number, because the mean of its divisors is an integer number (98478446976).

Almost surely, 2^{35643142007200} 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 35643142007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56723585458176).

35643142007200 is an abundant number, since it is smaller than the sum of its proper divisors (77804028909152).

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

35643142007200 is a wasteful number, since it uses less digits than its factorization.

35643142007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 35643142007200 in words is "thirty-five trillion, six hundred forty-three billion, one hundred forty-two million, seven thousand, two hundred".