85012891848 has 256 divisors, whose sum is σ = 257191200000. Its totient is φ = 25918193664.

The previous prime is 85012891837. The next prime is 85012891891. The reversal of 85012891848 is 84819821058.

85012891848 is a `hidden beast` number, since 8 + 501 + 2 + 8 + 91 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85012891794 and 85012891803.

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 63 ways as a sum of consecutive naturals, for example, 19279468 + ... + 19283876.

It is an arithmetic number, because the mean of its divisors is an integer number (1004653125).

Almost surely, 2^85012891848 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 85012891848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128595600000).

85012891848 is an abundant number, since it is smaller than the sum of its proper divisors (172178308152).

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

85012891848 is a wasteful number, since it uses less digits than its factorization.

85012891848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 85012891848 in words is "eighty-five billion, twelve million, eight hundred ninety-one thousand, eight hundred forty-eight".