21110760000 has 560 divisors, whose sum is σ = 84650153280. Its totient is φ = 5114880000.

The previous prime is 21110759981. The next prime is 21110760007. The reversal of 21110760000 is 6701112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21110760007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11879112 + ... + 11880888.

It is an arithmetic number, because the mean of its divisors is an integer number (151160988).

Almost surely, 2^21110760000 is an apocalyptic number.

21110760000 is a gapful number since it is divisible by the number (20) 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 21110760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325076640).

21110760000 is an abundant number, since it is smaller than the sum of its proper divisors (63539393280).

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

21110760000 is a wasteful number, since it uses less digits than its factorization.

21110760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 21110760000 in words is "twenty-one billion, one hundred ten million, seven hundred sixty thousand".