20506496362560 has 784 divisors, whose sum is σ = 82994897012160. Its totient is φ = 4782068305920.

The previous prime is 20506496362543. The next prime is 20506496362607. The reversal of 20506496362560 is 6526369460502.

20506496362560 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 6 + 4 + 9 + 6 + 3 + 625 + 6 + 0 = 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 = 20506496362497 and 20506496362506.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57442215 + ... + 57798105.

Almost surely, 2^{20506496362560} is an apocalyptic number.

20506496362560 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 20506496362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41497448506080).

20506496362560 is an abundant number, since it is smaller than the sum of its proper divisors (62488400649600).

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

20506496362560 is a wasteful number, since it uses less digits than its factorization.

20506496362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355958 (or 355933 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 20506496362560 in words is "twenty trillion, five hundred six billion, four hundred ninety-six million, three hundred sixty-two thousand, five hundred sixty".