20008567488 has 224 divisors, whose sum is σ = 66488665600. Its totient is φ = 5276759040.

The previous prime is 20008567459. The next prime is 20008567493. The reversal of 20008567488 is 88476580002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844443 + ... + 867813.

It is an arithmetic number, because the mean of its divisors is an integer number (296824400).

Almost surely, 2^20008567488 is an apocalyptic number.

20008567488 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 20008567488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33244332800).

20008567488 is an abundant number, since it is smaller than the sum of its proper divisors (46480098112).

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

20008567488 is a wasteful number, since it uses less digits than its factorization.

20008567488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23420 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 20008567488 in words is "twenty billion, eight million, five hundred sixty-seven thousand, four hundred eighty-eight".