20267280864 has 288 divisors, whose sum is σ = 63798658560. Its totient is φ = 6306895872.

The previous prime is 20267280811. The next prime is 20267280923. The reversal of 20267280864 is 46808276202.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18374137 + ... + 18375239.

It is an arithmetic number, because the mean of its divisors is an integer number (221523120).

Almost surely, 2^20267280864 is an apocalyptic number.

20267280864 is a gapful number since it is divisible by the number (24) 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 20267280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31899329280).

20267280864 is an abundant number, since it is smaller than the sum of its proper divisors (43531377696).

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

20267280864 is a wasteful number, since it uses less digits than its factorization.

20267280864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20267280864 in words is "twenty billion, two hundred sixty-seven million, two hundred eighty thousand, eight hundred sixty-four".