20009364480 has 1056 divisors, whose sum is σ = 86909397120. Its totient is φ = 4152360960.

The previous prime is 20009364449. The next prime is 20009364499. The reversal of 20009364480 is 8446390002.

It is a happy number.

20009364480 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 9 + 3 + 644 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224824276 + ... + 224824364.

Almost surely, 2^20009364480 is an apocalyptic number.

20009364480 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 20009364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43454698560).

20009364480 is an abundant number, since it is smaller than the sum of its proper divisors (66900032640).

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

20009364480 is a wasteful number, since it uses less digits than its factorization.

20009364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20009364480 in words is "twenty billion, nine million, three hundred sixty-four thousand, four hundred eighty".