20618051074560 has 1280 divisors, whose sum is σ = 76745167994880. Its totient is φ = 5240919490560.

The previous prime is 20618051074531. The next prime is 20618051074561. The reversal of 20618051074560 is 6547015081602.

20618051074560 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 8 + 0 + 5 + 10 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×20618051074560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20618051074561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56179975497 + ... + 56179975863.

It is an arithmetic number, because the mean of its divisors is an integer number (59957162496).

Almost surely, 2^{20618051074560} is an apocalyptic number.

20618051074560 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 20618051074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38372583997440).

20618051074560 is an abundant number, since it is smaller than the sum of its proper divisors (56127116920320).

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

20618051074560 is a wasteful number, since it uses less digits than its factorization.

20618051074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20618051074560 in words is "twenty trillion, six hundred eighteen billion, fifty-one million, seventy-four thousand, five hundred sixty".