21727119697920 has 4608 divisors, whose sum is σ = 104904543744000. Its totient is φ = 4213820620800.

The previous prime is 21727119697897. The next prime is 21727119697931. The reversal of 21727119697920 is 2979691172712.

21727119697920 is a `hidden beast` number, since 2 + 1 + 7 + 271 + 196 + 97 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 143888209845 + ... + 143888209995.

It is an arithmetic number, because the mean of its divisors is an integer number (22765743000).

Almost surely, 2^{21727119697920} is an apocalyptic number.

21727119697920 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 21727119697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52452271872000).

21727119697920 is an abundant number, since it is smaller than the sum of its proper divisors (83177424046080).

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

21727119697920 is a wasteful number, since it uses less digits than its factorization.

21727119697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 63.

The spelling of 21727119697920 in words is "twenty-one trillion, seven hundred twenty-seven billion, one hundred nineteen million, six hundred ninety-seven thousand, nine hundred twenty".