863940168000 has 3360 divisors, whose sum is σ = 4211492313600. Its totient is φ = 174356582400.

The previous prime is 863940167999. The next prime is 863940168017. The reversal of 863940168000 is 861049368.

863940168000 is a `hidden beast` number, since 8 + 639 + 4 + 0 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×863940168000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 37562615989 + ... + 37562616011.

Almost surely, 2^863940168000 is an apocalyptic number.

863940168000 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 863940168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105746156800).

863940168000 is an abundant number, since it is smaller than the sum of its proper divisors (3347552145600).

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

863940168000 is a wasteful number, since it uses less digits than its factorization.

863940168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 863940168000 in words is "eight hundred sixty-three billion, nine hundred forty million, one hundred sixty-eight thousand".