21110420711520 has 720 divisors, whose sum is σ = 86711557429728. Its totient is φ = 4822692618240.

The previous prime is 21110420711483. The next prime is 21110420711537. The reversal of 21110420711520 is 2511702401112.

21110420711520 is a `hidden beast` number, since 2 + 1 + 1 + 104 + 20 + 7 + 11 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1372313749 + ... + 1372329131.

Almost surely, 2^{21110420711520} is an apocalyptic number.

21110420711520 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 21110420711520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43355778714864).

21110420711520 is an abundant number, since it is smaller than the sum of its proper divisors (65601136718208).

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

21110420711520 is a wasteful number, since it uses less digits than its factorization.

21110420711520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17585 (or 17561 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 21110420711520 in words is "twenty-one trillion, one hundred ten billion, four hundred twenty million, seven hundred eleven thousand, five hundred twenty".