10971838363800 has 192 divisors, whose sum is σ = 36636400834560. Its totient is φ = 2708335872000.

The previous prime is 10971838363789. The next prime is 10971838363813. The reversal of 10971838363800 is 836383817901.

It is a super-2 number, since 2×10971838363800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12395761 + ... + 13251360.

It is an arithmetic number, because the mean of its divisors is an integer number (190814587680).

Almost surely, 2^{10971838363800} is an apocalyptic number.

10971838363800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10971838363800 is an abundant number, since it is smaller than the sum of its proper divisors (25664562470760).

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

10971838363800 is a wasteful number, since it uses less digits than its factorization.

10971838363800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25647194 (or 25647185 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 10971838363800 in words is "ten trillion, nine hundred seventy-one billion, eight hundred thirty-eight million, three hundred sixty-three thousand, eight hundred".