853792482816 has 1600 divisors, whose sum is σ = 3382741824000. Its totient is φ = 213324668928.

The previous prime is 853792482793. The next prime is 853792482821. The reversal of 853792482816 is 618284297358.

853792482816 is a `hidden beast` number, since 8 + 5 + 3 + 79 + 2 + 482 + 81 + 6 = 666.

853792482816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44936446455 + ... + 44936446473.

It is an arithmetic number, because the mean of its divisors is an integer number (2114213640).

Almost surely, 2^853792482816 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 853792482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691370912000).

853792482816 is an abundant number, since it is smaller than the sum of its proper divisors (2528949341184).

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

853792482816 is an frugal number, since it uses more digits than its factorization.

853792482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 853792482816 in words is "eight hundred fifty-three billion, seven hundred ninety-two million, four hundred eighty-two thousand, eight hundred sixteen".