20267965760 has 448 divisors, whose sum is σ = 62281612800. Its totient is φ = 6115295232.

The previous prime is 20267965667. The next prime is 20267965771. The reversal of 20267965760 is 6756976202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 20267965699 and 20267965708.

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, 78863552 + ... + 78863808.

Almost surely, 2^20267965760 is an apocalyptic number.

20267965760 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 20267965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31140806400).

20267965760 is an abundant number, since it is smaller than the sum of its proper divisors (42013647040).

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

20267965760 is a wasteful number, since it uses less digits than its factorization.

20267965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 20267965760 in words is "twenty billion, two hundred sixty-seven million, nine hundred sixty-five thousand, seven hundred sixty".