10980684000 has 1152 divisors, whose sum is σ = 48080148480. Its totient is φ = 2426112000.

The previous prime is 10980683981. The next prime is 10980684007. The reversal of 10980684000 is 48608901.

It is a happy number.

It is a super-2 number, since 2×10980684000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10980684007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138995961 + ... + 138996039.

It is an arithmetic number, because the mean of its divisors is an integer number (41736240).

Almost surely, 2^10980684000 is an apocalyptic number.

10980684000 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 10980684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040074240).

10980684000 is an abundant number, since it is smaller than the sum of its proper divisors (37099464480).

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

10980684000 is a wasteful number, since it uses less digits than its factorization.

10980684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10980684000 in words is "ten billion, nine hundred eighty million, six hundred eighty-four thousand".