20882647127160 has 2560 divisors, whose sum is σ = 94288016148480. Its totient is φ = 4020328857600.

The previous prime is 20882647127149. The next prime is 20882647127161. The reversal of 20882647127160 is 6172174628802.

20882647127160 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 2 + 6 + 471 + 2 + 7 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20882647127097 and 20882647127106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20882647127161) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 63089568195 + ... + 63089568525.

It is an arithmetic number, because the mean of its divisors is an integer number (36831256308).

Almost surely, 2^{20882647127160} is an apocalyptic number.

20882647127160 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 20882647127160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47144008074240).

20882647127160 is an abundant number, since it is smaller than the sum of its proper divisors (73405369021320).

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

20882647127160 is a wasteful number, since it uses less digits than its factorization.

20882647127160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 20882647127160 in words is "twenty trillion, eight hundred eighty-two billion, six hundred forty-seven million, one hundred twenty-seven thousand, one hundred sixty".