11800200630960 has 1440 divisors, whose sum is σ = 49664992665600. Its totient is φ = 2494431313920.

The previous prime is 11800200630893. The next prime is 11800200630973. The reversal of 11800200630960 is 6903600200811.

11800200630960 is a `hidden beast` number, since 1 + 18 + 0 + 0 + 2 + 0 + 0 + 630 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×11800200630960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12840261381 + ... + 12840262299.

It is an arithmetic number, because the mean of its divisors is an integer number (34489578240).

Almost surely, 2^{11800200630960} is an apocalyptic number.

11800200630960 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 11800200630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24832496332800).

11800200630960 is an abundant number, since it is smaller than the sum of its proper divisors (37864792034640).

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

11800200630960 is a wasteful number, since it uses less digits than its factorization.

11800200630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11800200630960 in words is "eleven trillion, eight hundred billion, two hundred million, six hundred thirty thousand, nine hundred sixty".