20478724609200 has 480 divisors, whose sum is σ = 77121126432000. Its totient is φ = 4579536998400.

The previous prime is 20478724609199. The next prime is 20478724609223. The reversal of 20478724609200 is 290642787402.

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, 257188594 + ... + 257268206.

It is an arithmetic number, because the mean of its divisors is an integer number (160669013400).

Almost surely, 2^{20478724609200} is an apocalyptic number.

20478724609200 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 20478724609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38560563216000).

20478724609200 is an abundant number, since it is smaller than the sum of its proper divisors (56642401822800).

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

20478724609200 is a wasteful number, since it uses less digits than its factorization.

20478724609200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81157 (or 81146 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 20478724609200 in words is "twenty trillion, four hundred seventy-eight billion, seven hundred twenty-four million, six hundred nine thousand, two hundred".