20828602009152 has 1344 divisors, whose sum is σ = 77141144371200. Its totient is φ = 5237177057280.

The previous prime is 20828602009069. The next prime is 20828602009177. The reversal of 20828602009152 is 25190020682802.

20828602009152 is a `hidden beast` number, since 2 + 0 + 8 + 28 + 602 + 0 + 0 + 9 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 20828602009098 and 20828602009107.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13292023473 + ... + 13292025039.

It is an arithmetic number, because the mean of its divisors is an integer number (57396684800).

Almost surely, 2^{20828602009152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20828602009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38570572185600).

20828602009152 is an abundant number, since it is smaller than the sum of its proper divisors (56312542362048).

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

20828602009152 is a wasteful number, since it uses less digits than its factorization.

20828602009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20828602009152 in words is "twenty trillion, eight hundred twenty-eight billion, six hundred two million, nine thousand, one hundred fifty-two".