853968410380800 has 4320 divisors, whose sum is σ = 3791758810904064. Its totient is φ = 180759527424000.

The previous prime is 853968410380711. The next prime is 853968410380859. The reversal of 853968410380800 is 8083014869358.

853968410380800 is a `hidden beast` number, since 8 + 5 + 3 + 9 + 68 + 410 + 3 + 80 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1128095654022 + ... + 1128095654778.

Almost surely, 2^{853968410380800} is an apocalyptic number.

853968410380800 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 853968410380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895879405452032).

853968410380800 is an abundant number, since it is smaller than the sum of its proper divisors (2937790400523264).

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

853968410380800 is a wasteful number, since it uses less digits than its factorization.

853968410380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 853968410380800 in words is "eight hundred fifty-three trillion, nine hundred sixty-eight billion, four hundred ten million, three hundred eighty thousand, eight hundred".