20719572226560 has 480 divisors, whose sum is σ = 74393812741248. Its totient is φ = 5325492387840.

The previous prime is 20719572226559. The next prime is 20719572226597. The reversal of 20719572226560 is 6562227591702.

20719572226560 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 9 + 5 + 72 + 2 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 20719572226497 and 20719572226506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78272989 + ... + 78537251.

Almost surely, 2^{20719572226560} is an apocalyptic number.

20719572226560 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 20719572226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37196906370624).

20719572226560 is an abundant number, since it is smaller than the sum of its proper divisors (53674240514688).

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

20719572226560 is a wasteful number, since it uses less digits than its factorization.

20719572226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264416 (or 264397 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 20719572226560 in words is "twenty trillion, seven hundred nineteen billion, five hundred seventy-two million, two hundred twenty-six thousand, five hundred sixty".