10981218600 has 672 divisors, whose sum is σ = 43034120640. Its totient is φ = 2581632000.

The previous prime is 10981218571. The next prime is 10981218607. The reversal of 10981218600 is 681218901.

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

It is not an unprimeable number, because it can be changed into a prime (10981218607) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 65755717 + ... + 65755883.

It is an arithmetic number, because the mean of its divisors is an integer number (64038870).

Almost surely, 2^10981218600 is an apocalyptic number.

10981218600 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 10981218600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21517060320).

10981218600 is an abundant number, since it is smaller than the sum of its proper divisors (32052902040).

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

10981218600 is a wasteful number, since it uses less digits than its factorization.

10981218600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 10981218600 in words is "ten billion, nine hundred eighty-one million, two hundred eighteen thousand, six hundred".