20729580480 has 896 divisors, whose sum is σ = 88484659200. Its totient is φ = 4468359168.

The previous prime is 20729580463. The next prime is 20729580491. The reversal of 20729580480 is 8408592702.

20729580480 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 95 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92957649 + ... + 92957871.

It is an arithmetic number, because the mean of its divisors is an integer number (98755200).

Almost surely, 2^20729580480 is an apocalyptic number.

20729580480 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 20729580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44242329600).

20729580480 is an abundant number, since it is smaller than the sum of its proper divisors (67755078720).

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

20729580480 is a wasteful number, since it uses less digits than its factorization.

20729580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20729580480 in words is "twenty billion, seven hundred twenty-nine million, five hundred eighty thousand, four hundred eighty".