20479359600 has 840 divisors, whose sum is σ = 86046556160. Its totient is φ = 4585351680.

The previous prime is 20479359569. The next prime is 20479359613. The reversal of 20479359600 is 695397402.

It is a happy number.

20479359600 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 9 + 35 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×20479359600² (a number of 21 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 161254737 + ... + 161254863.

Almost surely, 2^20479359600 is an apocalyptic number.

20479359600 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 20479359600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43023278080).

20479359600 is an abundant number, since it is smaller than the sum of its proper divisors (65567196560).

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

20479359600 is a wasteful number, since it uses less digits than its factorization.

20479359600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20479359600 in words is "twenty billion, four hundred seventy-nine million, three hundred fifty-nine thousand, six hundred".