85630532616 has 128 divisors (see below), whose sum is σ = 244893600000. Its totient is φ = 27706821120.

The previous prime is 85630532609. The next prime is 85630532627. The reversal of 85630532616 is 61623503658.

85630532616 is a `hidden beast` number, since 8 + 5 + 6 + 305 + 326 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738050 + ... + 1786638.

It is an arithmetic number, because the mean of its divisors is an integer number (1913231250).

Almost surely, 2^85630532616 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 85630532616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122446800000).

85630532616 is an abundant number, since it is smaller than the sum of its proper divisors (159263067384).

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

85630532616 is a wasteful number, since it uses less digits than its factorization.

85630532616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48844 (or 48834 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 85630532616 in words is "eighty-five billion, six hundred thirty million, five hundred thirty-two thousand, six hundred sixteen".