20729103360 has 704 divisors, whose sum is σ = 81434572800. Its totient is φ = 4395368448.

The previous prime is 20729103313. The next prime is 20729103383. The reversal of 20729103360 is 6330192702.

It is a happy number.

It is a super-2 number, since 2×20729103360² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149130171 + ... + 149130309.

Almost surely, 2^20729103360 is an apocalyptic number.

20729103360 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 20729103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40717286400).

20729103360 is an abundant number, since it is smaller than the sum of its proper divisors (60705469440).

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

20729103360 is a wasteful number, since it uses less digits than its factorization.

20729103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 20729103360 in words is "twenty billion, seven hundred twenty-nine million, one hundred three thousand, three hundred sixty".