85381512048 has 640 divisors, whose sum is σ = 304266240000. Its totient is φ = 22384429056.

The previous prime is 85381512017. The next prime is 85381512049. The reversal of 85381512048 is 84021518358.

85381512048 is a `hidden beast` number, since 8 + 53 + 81 + 512 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85381511994 and 85381512012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85381512049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301701315 + ... + 301701597.

It is an arithmetic number, because the mean of its divisors is an integer number (475416000).

Almost surely, 2^85381512048 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 85381512048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152133120000).

85381512048 is an abundant number, since it is smaller than the sum of its proper divisors (218884727952).

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

85381512048 is a wasteful number, since it uses less digits than its factorization.

85381512048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 85381512048 in words is "eighty-five billion, three hundred eighty-one million, five hundred twelve thousand, forty-eight".