853997256000 has 1792 divisors, whose sum is σ = 3826220236800. Its totient is φ = 184421836800.

The previous prime is 853997255963. The next prime is 853997256067. The reversal of 853997256000 is 652799358.

853997256000 is a `hidden beast` number, since 8 + 5 + 3 + 9 + 9 + 7 + 25 + 600 + 0 = 666.

It is a super-2 number, since 2×853997256000² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2326967817 + ... + 2326968183.

Almost surely, 2^853997256000 is an apocalyptic number.

853997256000 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 853997256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913110118400).

853997256000 is an abundant number, since it is smaller than the sum of its proper divisors (2972222980800).

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

853997256000 is an equidigital number, since it uses as much as digits as its factorization.

853997256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 853997256000 in words is "eight hundred fifty-three billion, nine hundred ninety-seven million, two hundred fifty-six thousand".