85828377600 has 1188 divisors, whose sum is σ = 369692359504. Its totient is φ = 19349176320.

The previous prime is 85828377599. The next prime is 85828377611. The reversal of 85828377600 is 677382858.

85828377600 is a `hidden beast` number, since 8 + 5 + 8 + 28 + 3 + 7 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1175731164 + ... + 1175731236.

Almost surely, 2^85828377600 is an apocalyptic number.

85828377600 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 85828377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184846179752).

85828377600 is an abundant number, since it is smaller than the sum of its proper divisors (283863981904).

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

85828377600 is an frugal number, since it uses more digits than its factorization.

85828377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 85828377600 in words is "eighty-five billion, eight hundred twenty-eight million, three hundred seventy-seven thousand, six hundred".