20087766468 has 144 divisors (see below), whose sum is σ = 63440133120. Its totient is φ = 5206622400.

The previous prime is 20087766463. The next prime is 20087766493. The reversal of 20087766468 is 86466778002.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20087766463) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1353673 + ... + 1368431.

It is an arithmetic number, because the mean of its divisors is an integer number (440556480).

Almost surely, 2^20087766468 is an apocalyptic number.

20087766468 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 20087766468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31720066560).

20087766468 is an abundant number, since it is smaller than the sum of its proper divisors (43352366652).

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

20087766468 is a wasteful number, since it uses less digits than its factorization.

20087766468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 20087766468 in words is "twenty billion, eighty-seven million, seven hundred sixty-six thousand, four hundred sixty-eight".