20876129280 has 264 divisors, whose sum is σ = 72568197000. Its totient is φ = 5549064192.

The previous prime is 20876129237. The next prime is 20876129303. The reversal of 20876129280 is 8292167802.

20876129280 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 612 + 9 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1579585536 + 19296543744 = 39744^2 + 138912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20689416 + ... + 20690424.

Almost surely, 2^20876129280 is an apocalyptic number.

20876129280 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 20876129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36284098500).

20876129280 is an abundant number, since it is smaller than the sum of its proper divisors (51692067720).

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

20876129280 is a wasteful number, since it uses less digits than its factorization.

20876129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20876129280 in words is "twenty billion, eight hundred seventy-six million, one hundred twenty-nine thousand, two hundred eighty".