85501785600 has 2520 divisors, whose sum is σ = 426762348408. Its totient is φ = 16721510400.

The previous prime is 85501785599. The next prime is 85501785709. The reversal of 85501785600 is 658710558.

85501785600 is a `hidden beast` number, since 8 + 5 + 501 + 7 + 85 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 251 ways as a sum of consecutive naturals, for example, 5029516792 + ... + 5029516808.

Almost surely, 2^85501785600 is an apocalyptic number.

85501785600 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 85501785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213381174204).

85501785600 is an abundant number, since it is smaller than the sum of its proper divisors (341260562808).

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

85501785600 is a wasteful number, since it uses less digits than its factorization.

85501785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 85501785600 in words is "eighty-five billion, five hundred one million, seven hundred eighty-five thousand, six hundred".