21911061120 has 256 divisors, whose sum is σ = 75549196800. Its totient is φ = 5369462784.

The previous prime is 21911061071. The next prime is 21911061127. The reversal of 21911061120 is 2116011912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21911061127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5963604 + ... + 5967276.

It is an arithmetic number, because the mean of its divisors is an integer number (295114050).

Almost surely, 2^21911061120 is an apocalyptic number.

21911061120 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 21911061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37774598400).

21911061120 is an abundant number, since it is smaller than the sum of its proper divisors (53638135680).

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

21911061120 is a wasteful number, since it uses less digits than its factorization.

21911061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 21911061120 in words is "twenty-one billion, nine hundred eleven million, sixty-one thousand, one hundred twenty".