20106763488 has 720 divisors, whose sum is σ = 73206413280. Its totient is φ = 5389203456.

The previous prime is 20106763487. The next prime is 20106763531. The reversal of 20106763488 is 88436760102.

20106763488 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 6 + 7 + 634 + 8 + 8 = 666.

It is a super-2 number, since 2×20106763488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20106763487) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 195211245 + ... + 195211347.

It is an arithmetic number, because the mean of its divisors is an integer number (101675574).

Almost surely, 2^20106763488 is an apocalyptic number.

20106763488 is a gapful number since it is divisible by the number (28) 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 20106763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36603206640).

20106763488 is an abundant number, since it is smaller than the sum of its proper divisors (53099649792).

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

20106763488 is a wasteful number, since it uses less digits than its factorization.

20106763488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20106763488 in words is "twenty billion, one hundred six million, seven hundred sixty-three thousand, four hundred eighty-eight".