35084828064000 has 1152 divisors, whose sum is σ = 139493428978176. Its totient is φ = 7702855680000.

The previous prime is 35084828063969. The next prime is 35084828064007. The reversal of 35084828064000 is 46082848053.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (35084828064007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 727559890 + ... + 727608110.

It is an arithmetic number, because the mean of its divisors is an integer number (121088045988).

Almost surely, 2^{35084828064000} is an apocalyptic number.

35084828064000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35084828064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746714489088).

35084828064000 is an abundant number, since it is smaller than the sum of its proper divisors (104408600914176).

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

35084828064000 is a wasteful number, since it uses less digits than its factorization.

35084828064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48332 (or 48308 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 35084828064000 in words is "thirty-five trillion, eighty-four billion, eight hundred twenty-eight million, sixty-four thousand".