21424177651968 has 576 divisors, whose sum is σ = 82079478835200. Its totient is φ = 5352943656960.

The previous prime is 21424177651909. The next prime is 21424177651973. The reversal of 21424177651968 is 86915677142412.

It is a happy number.

21424177651968 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 41 + 7 + 76 + 519 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 11054503 + ... + 12847193.

It is an arithmetic number, because the mean of its divisors is an integer number (142499095200).

Almost surely, 2^{21424177651968} is an apocalyptic number.

21424177651968 is a gapful number since it is divisible by the number (28) 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 21424177651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41039739417600).

21424177651968 is an abundant number, since it is smaller than the sum of its proper divisors (60655301183232).

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

21424177651968 is a wasteful number, since it uses less digits than its factorization.

21424177651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792755 (or 1792735 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 21424177651968 in words is "twenty-one trillion, four hundred twenty-four billion, one hundred seventy-seven million, six hundred fifty-one thousand, nine hundred sixty-eight".