20188618560 has 672 divisors, whose sum is σ = 79714612224. Its totient is φ = 4644864000.

The previous prime is 20188618559. The next prime is 20188618561. The reversal of 20188618560 is 6581688102.

20188618560 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 86 + 1 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (20188618559) and next prime (20188618561).

It is a super-2 number, since 2×20188618560² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20188618561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59906712 + ... + 59907048.

Almost surely, 2^20188618560 is an apocalyptic number.

20188618560 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 20188618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39857306112).

20188618560 is an abundant number, since it is smaller than the sum of its proper divisors (59525993664).

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

20188618560 is a wasteful number, since it uses less digits than its factorization.

20188618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 20188618560 in words is "twenty billion, one hundred eighty-eight million, six hundred eighteen thousand, five hundred sixty".