85628610564 has 384 divisors, whose sum is σ = 267581325312. Its totient is φ = 20729364480.

The previous prime is 85628610511. The next prime is 85628610569. The reversal of 85628610564 is 46501682658.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (85628610569) 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, 37670932 + ... + 37673204.

It is an arithmetic number, because the mean of its divisors is an integer number (696826368).

Almost surely, 2^85628610564 is an apocalyptic number.

85628610564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85628610564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133790662656).

85628610564 is an abundant number, since it is smaller than the sum of its proper divisors (181952714748).

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

85628610564 is a wasteful number, since it uses less digits than its factorization.

85628610564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 85628610564 in words is "eighty-five billion, six hundred twenty-eight million, six hundred ten thousand, five hundred sixty-four".