20761271680 has 128 divisors (see below), whose sum is σ = 52598095200. Its totient is φ = 7822295040.

The previous prime is 20761271627. The next prime is 20761271681. The reversal of 20761271680 is 8617216702.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20761271681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747319 + ... + 774601.

Almost surely, 2^20761271680 is an apocalyptic number.

20761271680 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 20761271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26299047600).

20761271680 is an abundant number, since it is smaller than the sum of its proper divisors (31836823520).

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

20761271680 is a wasteful number, since it uses less digits than its factorization.

20761271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27372 (or 27360 counting only the distinct ones).

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

The spelling of 20761271680 in words is "twenty billion, seven hundred sixty-one million, two hundred seventy-one thousand, six hundred eighty".