20881380199680 has 5832 divisors, whose sum is σ = 105283431935136. Its totient is φ = 3945440378880.

The previous prime is 20881380199657. The next prime is 20881380199717. The reversal of 20881380199680 is 8699108318802.

It is a happy number.

20881380199680 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 1 + 380 + 199 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 311662391007 + ... + 311662391073.

Almost surely, 2^{20881380199680} is an apocalyptic number.

20881380199680 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 20881380199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52641715967568).

20881380199680 is an abundant number, since it is smaller than the sum of its proper divisors (84402051735456).

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

20881380199680 is a wasteful number, since it uses less digits than its factorization.

20881380199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 20881380199680 in words is "twenty trillion, eight hundred eighty-one billion, three hundred eighty million, one hundred ninety-nine thousand, six hundred eighty".