21129647303880 has 1152 divisors, whose sum is σ = 79895022105600. Its totient is φ = 4811392008192.

The previous prime is 21129647303879. The next prime is 21129647303881. The reversal of 21129647303880 is 8830374692112.

It is a happy number.

21129647303880 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 96 + 473 + 0 + 3 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (21129647303879) and next prime (21129647303881).

It is not an unprimeable number, because it can be changed into a prime (21129647303881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14209580497 + ... + 14209581983.

It is an arithmetic number, because the mean of its divisors is an integer number (69353317800).

Almost surely, 2^{21129647303880} is an apocalyptic number.

21129647303880 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 21129647303880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39947511052800).

21129647303880 is an abundant number, since it is smaller than the sum of its proper divisors (58765374801720).

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

21129647303880 is a wasteful number, since it uses less digits than its factorization.

21129647303880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21129647303880 in words is "twenty-one trillion, one hundred twenty-nine billion, six hundred forty-seven million, three hundred three thousand, eight hundred eighty".