20781212760 has 1152 divisors, whose sum is σ = 95009241600. Its totient is φ = 3832012800.

The previous prime is 20781212729. The next prime is 20781212773. The reversal of 20781212760 is 6721218702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 98489055 + ... + 98489265.

It is an arithmetic number, because the mean of its divisors is an integer number (82473300).

Almost surely, 2^20781212760 is an apocalyptic number.

20781212760 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 20781212760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47504620800).

20781212760 is an abundant number, since it is smaller than the sum of its proper divisors (74228028840).

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

20781212760 is a wasteful number, since it uses less digits than its factorization.

20781212760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 20781212760 in words is "twenty billion, seven hundred eighty-one million, two hundred twelve thousand, seven hundred sixty".