35066040116000 has 192 divisors, whose sum is σ = 87116092932960. Its totient is φ = 13870656000000.

The previous prime is 35066040115979. The next prime is 35066040116027. The reversal of 35066040116000 is 61104066053.

It can be written as a sum of positive squares in 16 ways, for example, as 2680698896656 + 32385341219344 = 1637284^2 + 5690812^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334863650 + ... + 334968350.

Almost surely, 2^{35066040116000} 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 35066040116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43558046466480).

35066040116000 is an abundant number, since it is smaller than the sum of its proper divisors (52050052816960).

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

35066040116000 is a wasteful number, since it uses less digits than its factorization.

35066040116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105656 (or 105638 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 35066040116000 in words is "thirty-five trillion, sixty-six billion, forty million, one hundred sixteen thousand".