20007290880 has 576 divisors, whose sum is σ = 73592064000. Its totient is φ = 5019402240.

The previous prime is 20007290873. The next prime is 20007290887. The reversal of 20007290880 is 8809270002.

It is an interprime number because it is at equal distance from previous prime (20007290873) and next prime (20007290887).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20007290887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134277046 + ... + 134277194.

It is an arithmetic number, because the mean of its divisors is an integer number (127764000).

Almost surely, 2^20007290880 is an apocalyptic number.

20007290880 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 20007290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032000).

20007290880 is an abundant number, since it is smaller than the sum of its proper divisors (53584773120).

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

20007290880 is a wasteful number, since it uses less digits than its factorization.

20007290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20007290880 in words is "twenty billion, seven million, two hundred ninety thousand, eight hundred eighty".