85860129600 has 1680 divisors, whose sum is σ = 386345558016. Its totient is φ = 18289152000.

The previous prime is 85860129583. The next prime is 85860129661. The reversal of 85860129600 is 692106858.

85860129600 is a `hidden beast` number, since 8 + 586 + 0 + 1 + 2 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1209297565 + ... + 1209297635.

Almost surely, 2^85860129600 is an apocalyptic number.

85860129600 is a gapful number since it is divisible by the number (80) 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 85860129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193172779008).

85860129600 is an abundant number, since it is smaller than the sum of its proper divisors (300485428416).

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

85860129600 is a wasteful number, since it uses less digits than its factorization.

85860129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 85860129600 in words is "eighty-five billion, eight hundred sixty million, one hundred twenty-nine thousand, six hundred".