834470125600 has 144 divisors (see below), whose sum is σ = 2060798912928. Its totient is φ = 329922109440.

The previous prime is 834470125553. The next prime is 834470125633. The reversal of 834470125600 is 6521074438.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64168699 + ... + 64181701.

It is an arithmetic number, because the mean of its divisors is an integer number (14311103562).

Almost surely, 2^834470125600 is an apocalyptic number.

834470125600 is a gapful number since it is divisible by the number (80) 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 834470125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030399456464).

834470125600 is an abundant number, since it is smaller than the sum of its proper divisors (1226328787328).

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

834470125600 is a wasteful number, since it uses less digits than its factorization.

834470125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 834470125600 in words is "eight hundred thirty-four billion, four hundred seventy million, one hundred twenty-five thousand, six hundred".