20974608027360 has 288 divisors, whose sum is σ = 77097743206848. Its totient is φ = 5161904824320.

The previous prime is 20974608027353. The next prime is 20974608027371. The reversal of 20974608027360 is 6372080647902.

20974608027360 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 4 + 608 + 0 + 27 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20974608027297 and 20974608027306.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 91669900 + ... + 91898420.

It is an arithmetic number, because the mean of its divisors is an integer number (267700497246).

Almost surely, 2^{20974608027360} is an apocalyptic number.

20974608027360 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 20974608027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38548871603424).

20974608027360 is an abundant number, since it is smaller than the sum of its proper divisors (56123135179488).

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

20974608027360 is a wasteful number, since it uses less digits than its factorization.

20974608027360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233458 (or 233447 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 20974608027360 in words is "twenty trillion, nine hundred seventy-four billion, six hundred eight million, twenty-seven thousand, three hundred sixty".