20472307200 has 480 divisors, whose sum is σ = 77222423520. Its totient is φ = 5308416000.

The previous prime is 20472307151. The next prime is 20472307213. The reversal of 20472307200 is 270327402.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12786400 + ... + 12788000.

It is an arithmetic number, because the mean of its divisors is an integer number (160880049).

Almost surely, 2^20472307200 is an apocalyptic number.

20472307200 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 20472307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38611211760).

20472307200 is an abundant number, since it is smaller than the sum of its proper divisors (56750116320).

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

20472307200 is a wasteful number, since it uses less digits than its factorization.

20472307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The spelling of 20472307200 in words is "twenty billion, four hundred seventy-two million, three hundred seven thousand, two hundred".