20806567378560 has 384 divisors, whose sum is σ = 76333995550800. Its totient is φ = 5212305358848.

The previous prime is 20806567378537. The next prime is 20806567378579. The reversal of 20806567378560 is 6587376560802.

It is a happy number.

20806567378560 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 6 + 5 + 67 + 3 + 7 + 8 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9009650585664 + 11796916792896 = 3001608^2 + 3434664^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4497232 + ... + 7863728.

Almost surely, 2^{20806567378560} is an apocalyptic number.

20806567378560 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 20806567378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38166997775400).

20806567378560 is an abundant number, since it is smaller than the sum of its proper divisors (55527428172240).

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

20806567378560 is a wasteful number, since it uses less digits than its factorization.

20806567378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366588 (or 3366573 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 20806567378560 in words is "twenty trillion, eight hundred six billion, five hundred sixty-seven million, three hundred seventy-eight thousand, five hundred sixty".