21130375770720 has 288 divisors, whose sum is σ = 73090990496160. Its totient is φ = 5558206832640.

The previous prime is 21130375770703. The next prime is 21130375770839. The reversal of 21130375770720 is 2707757303112.

21130375770720 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 3 + 7 + 577 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53759547 + ... + 54151173.

It is an arithmetic number, because the mean of its divisors is an integer number (253788161445).

Almost surely, 2^{21130375770720} is an apocalyptic number.

21130375770720 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 21130375770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36545495248080).

21130375770720 is an abundant number, since it is smaller than the sum of its proper divisors (51960614725440).

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

21130375770720 is a wasteful number, since it uses less digits than its factorization.

21130375770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392158 (or 392147 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 21130375770720 in words is "twenty-one trillion, one hundred thirty billion, three hundred seventy-five million, seven hundred seventy thousand, seven hundred twenty".