20121767680 has 432 divisors, whose sum is σ = 59055575040. Its totient is φ = 6541516800.

The previous prime is 20121767663. The next prime is 20121767713. The reversal of 20121767680 is 8676712102.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153601215 + ... + 153601345.

It is an arithmetic number, because the mean of its divisors is an integer number (136702720).

Almost surely, 2^20121767680 is an apocalyptic number.

20121767680 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 20121767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29527787520).

20121767680 is an abundant number, since it is smaller than the sum of its proper divisors (38933807360).

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

20121767680 is a wasteful number, since it uses less digits than its factorization.

20121767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 20121767680 in words is "twenty billion, one hundred twenty-one million, seven hundred sixty-seven thousand, six hundred eighty".