868838140800 has 2304 divisors, whose sum is σ = 4007210188800. Its totient is φ = 181398528000.

The previous prime is 868838140757. The next prime is 868838140801. The reversal of 868838140800 is 8041838868.

868838140800 is a `hidden beast` number, since 86 + 8 + 83 + 81 + 408 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868838140801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3206044665 + ... + 3206044935.

Almost surely, 2^868838140800 is an apocalyptic number.

868838140800 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 868838140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003605094400).

868838140800 is an abundant number, since it is smaller than the sum of its proper divisors (3138372048000).

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

868838140800 is a wasteful number, since it uses less digits than its factorization.

868838140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 868838140800 in words is "eight hundred sixty-eight billion, eight hundred thirty-eight million, one hundred forty thousand, eight hundred".