10863800769240 has 384 divisors, whose sum is σ = 37402495303680. Its totient is φ = 2729019955200.

The previous prime is 10863800769223. The next prime is 10863800769247. The reversal of 10863800769240 is 4296700836801.

10863800769240 is a `hidden beast` number, since 10 + 8 + 6 + 380 + 0 + 7 + 6 + 9 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10863800769247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560239945 + ... + 560259335.

It is an arithmetic number, because the mean of its divisors is an integer number (97402331520).

Almost surely, 2^{10863800769240} is an apocalyptic number.

10863800769240 is a gapful number since it is divisible by the number (10) 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 10863800769240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701247651840).

10863800769240 is an abundant number, since it is smaller than the sum of its proper divisors (26538694534440).

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

10863800769240 is a wasteful number, since it uses less digits than its factorization.

10863800769240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20455 (or 20448 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10863800769240 in words is "ten trillion, eight hundred sixty-three billion, eight hundred million, seven hundred sixty-nine thousand, two hundred forty".