21276281445120 has 2592 divisors, whose sum is σ = 88480474467840. Its totient is φ = 4696320245760.

The previous prime is 21276281445109. The next prime is 21276281445131. The reversal of 21276281445120 is 2154418267212.

21276281445120 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 6 + 2 + 81 + 445 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (21276281445109) and next prime (21276281445131).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91314512524 + ... + 91314512756.

It is an arithmetic number, because the mean of its divisors is an integer number (34135985520).

Almost surely, 2^{21276281445120} is an apocalyptic number.

21276281445120 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 21276281445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44240237233920).

21276281445120 is an abundant number, since it is smaller than the sum of its proper divisors (67204193022720).

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

21276281445120 is a wasteful number, since it uses less digits than its factorization.

21276281445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 21276281445120 in words is "twenty-one trillion, two hundred seventy-six billion, two hundred eighty-one million, four hundred forty-five thousand, one hundred twenty".