21146163857280 has 768 divisors, whose sum is σ = 93258882662400. Its totient is φ = 4286833459200.

The previous prime is 21146163857201. The next prime is 21146163857303. The reversal of 21146163857280 is 8275836164112.

It is a happy number.

21146163857280 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 6 + 1 + 63 + 8 + 572 + 8 + 0 = 666.

It is a super-3 number, since 3×21146163857280³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17602881 + ... + 18765759.

It is an arithmetic number, because the mean of its divisors is an integer number (121430836800).

Almost surely, 2^{21146163857280} is an apocalyptic number.

21146163857280 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 21146163857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46629441331200).

21146163857280 is an abundant number, since it is smaller than the sum of its proper divisors (72112718805120).

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

21146163857280 is a wasteful number, since it uses less digits than its factorization.

21146163857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162963 (or 1162948 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21146163857280 in words is "twenty-one trillion, one hundred forty-six billion, one hundred sixty-three million, eight hundred fifty-seven thousand, two hundred eighty".