85821367104 has 448 divisors, whose sum is σ = 292644576000. Its totient is φ = 24374476800.

The previous prime is 85821367103. The next prime is 85821367127. The reversal of 85821367104 is 40176312858.

85821367104 is a `hidden beast` number, since 8 + 582 + 1 + 3 + 67 + 1 + 0 + 4 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 85821367104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85821367103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112774084 + ... + 112774844.

It is an arithmetic number, because the mean of its divisors is an integer number (653224500).

Almost surely, 2^85821367104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85821367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146322288000).

85821367104 is an abundant number, since it is smaller than the sum of its proper divisors (206823208896).

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

85821367104 is a wasteful number, since it uses less digits than its factorization.

85821367104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85821367104 in words is "eighty-five billion, eight hundred twenty-one million, three hundred sixty-seven thousand, one hundred four".