20418748117560 has 512 divisors, whose sum is σ = 73498005504000. Its totient is φ = 5012467660800.

The previous prime is 20418748117549. The next prime is 20418748117637. The reversal of 20418748117560 is 6571184781402.

It is a happy number.

20418748117560 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 8 + 74 + 8 + 1 + 1 + 7 + 560 = 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 = 20418748117497 and 20418748117506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14189539321 + ... + 14189540759.

It is an arithmetic number, because the mean of its divisors is an integer number (143550792000).

Almost surely, 2^{20418748117560} is an apocalyptic number.

20418748117560 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 20418748117560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36749002752000).

20418748117560 is an abundant number, since it is smaller than the sum of its proper divisors (53079257386440).

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

20418748117560 is a wasteful number, since it uses less digits than its factorization.

20418748117560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 20418748117560 in words is "twenty trillion, four hundred eighteen billion, seven hundred forty-eight million, one hundred seventeen thousand, five hundred sixty".