85130882064 has 160 divisors (see below), whose sum is σ = 248031684480. Its totient is φ = 28301529600.

The previous prime is 85130882063. The next prime is 85130882069. The reversal of 85130882064 is 46028803158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85130882063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14028759 + ... + 14034825.

It is an arithmetic number, because the mean of its divisors is an integer number (1550198028).

Almost surely, 2^85130882064 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 85130882064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124015842240).

85130882064 is an abundant number, since it is smaller than the sum of its proper divisors (162900802416).

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

85130882064 is an equidigital number, since it uses as much as digits as its factorization.

85130882064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 85130882064 in words is "eighty-five billion, one hundred thirty million, eight hundred eighty-two thousand, sixty-four".