85382600688 has 240 divisors, whose sum is σ = 307870017280. Its totient is φ = 22177203840.

The previous prime is 85382600683. The next prime is 85382600689. The reversal of 85382600688 is 88600628358.

85382600688 is a `hidden beast` number, since 8 + 538 + 26 + 0 + 0 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85382600683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249231 + ... + 482577.

Almost surely, 2^85382600688 is an apocalyptic number.

85382600688 is a gapful number since it is divisible by the number (88) 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 85382600688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153935008640).

85382600688 is an abundant number, since it is smaller than the sum of its proper divisors (222487416592).

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

85382600688 is a wasteful number, since it uses less digits than its factorization.

85382600688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233393 (or 233370 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 85382600688 in words is "eighty-five billion, three hundred eighty-two million, six hundred thousand, six hundred eighty-eight".