85675622400 has 720 divisors, whose sum is σ = 322448250880. Its totient is φ = 22295347200.

The previous prime is 85675622363. The next prime is 85675622419. The reversal of 85675622400 is 422657658.

85675622400 is a `hidden beast` number, since 8 + 5 + 67 + 562 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674611137 + ... + 674611263.

Almost surely, 2^85675622400 is an apocalyptic number.

85675622400 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 85675622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161224125440).

85675622400 is an abundant number, since it is smaller than the sum of its proper divisors (236772628480).

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

85675622400 is a wasteful number, since it uses less digits than its factorization.

85675622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 85675622400 in words is "eighty-five billion, six hundred seventy-five million, six hundred twenty-two thousand, four hundred".