85074949474830 has 144 divisors (see below), whose sum is σ = 257379112504800. Its totient is φ = 19440352439424.

The previous prime is 85074949474819. The next prime is 85074949474841. The reversal of 85074949474830 is 3847494947058.

85074949474830 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 494 + 94 + 7 + 48 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85074949474819) and next prime (85074949474841).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13387071 + ... + 18691269.

It is an arithmetic number, because the mean of its divisors is an integer number (1787354947950).

Almost surely, 2^{85074949474830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85074949474830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128689556252400).

85074949474830 is an abundant number, since it is smaller than the sum of its proper divisors (172304163029970).

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

85074949474830 is a wasteful number, since it uses less digits than its factorization.

85074949474830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307863 (or 5307853 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 85074949474830 in words is "eighty-five trillion, seventy-four billion, nine hundred forty-nine million, four hundred seventy-four thousand, eight hundred thirty".