20761466880 has 768 divisors, whose sum is σ = 84687482880. Its totient is φ = 4217241600.

The previous prime is 20761466863. The next prime is 20761466911. The reversal of 20761466880 is 8866416702.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 158484415 + ... + 158484545.

It is an arithmetic number, because the mean of its divisors is an integer number (110270160).

Almost surely, 2^20761466880 is an apocalyptic number.

20761466880 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 20761466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42343741440).

20761466880 is an abundant number, since it is smaller than the sum of its proper divisors (63926016000).

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

20761466880 is a wasteful number, since it uses less digits than its factorization.

20761466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 20761466880 in words is "twenty billion, seven hundred sixty-one million, four hundred sixty-six thousand, eight hundred eighty".