21627120909240 has 2048 divisors, whose sum is σ = 93440397312000. Its totient is φ = 4356423751680.

The previous prime is 21627120909239. The next prime is 21627120909353. The reversal of 21627120909240 is 4290902172612.

21627120909240 is a `hidden beast` number, since 2 + 1 + 627 + 12 + 0 + 9 + 0 + 9 + 2 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 57063643371 + ... + 57063643749.

It is an arithmetic number, because the mean of its divisors is an integer number (45625194000).

Almost surely, 2^{21627120909240} is an apocalyptic number.

21627120909240 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 21627120909240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46720198656000).

21627120909240 is an abundant number, since it is smaller than the sum of its proper divisors (71813276402760).

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

21627120909240 is a wasteful number, since it uses less digits than its factorization.

21627120909240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21627120909240 in words is "twenty-one trillion, six hundred twenty-seven billion, one hundred twenty million, nine hundred nine thousand, two hundred forty".