10867877848800 has 1152 divisors, whose sum is σ = 46430548254720. Its totient is φ = 2400797491200.

The previous prime is 10867877848787. The next prime is 10867877848837. The reversal of 10867877848800 is 884877876801.

10867877848800 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 78 + 7 + 78 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×10867877848800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6997988824 + ... + 6997990376.

It is an arithmetic number, because the mean of its divisors is an integer number (40304295360).

Almost surely, 2^{10867877848800} is an apocalyptic number.

10867877848800 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 10867877848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215274127360).

10867877848800 is an abundant number, since it is smaller than the sum of its proper divisors (35562670405920).

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

10867877848800 is a wasteful number, since it uses less digits than its factorization.

10867877848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 269746176, while the sum is 72.

The spelling of 10867877848800 in words is "ten trillion, eight hundred sixty-seven billion, eight hundred seventy-seven million, eight hundred forty-eight thousand, eight hundred".