85808211048 has 192 divisors, whose sum is σ = 276884075520. Its totient is φ = 23490432000.

The previous prime is 85808211011. The next prime is 85808211119. The reversal of 85808211048 is 84011280858.

85808211048 is a `hidden beast` number, since 8 + 580 + 8 + 21 + 1 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85808210994 and 85808211012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550836 + ... + 1605212.

It is an arithmetic number, because the mean of its divisors is an integer number (1442104560).

Almost surely, 2^85808211048 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 85808211048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138442037760).

85808211048 is an abundant number, since it is smaller than the sum of its proper divisors (191075864472).

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

85808211048 is a wasteful number, since it uses less digits than its factorization.

85808211048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54528 (or 54521 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 85808211048 in words is "eighty-five billion, eight hundred eight million, two hundred eleven thousand, forty-eight".