85182753600 has 672 divisors, whose sum is σ = 358525267200. Its totient is φ = 19270656000.

The previous prime is 85182753583. The next prime is 85182753619. The reversal of 85182753600 is 635728158.

85182753600 is a `hidden beast` number, since 8 + 5 + 18 + 27 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×85182753600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30541006 + ... + 30543794.

Almost surely, 2^85182753600 is an apocalyptic number.

85182753600 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 85182753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262633600).

85182753600 is an abundant number, since it is smaller than the sum of its proper divisors (273342513600).

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

85182753600 is a wasteful number, since it uses less digits than its factorization.

85182753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 85182753600 in words is "eighty-five billion, one hundred eighty-two million, seven hundred fifty-three thousand, six hundred".