20472328800 has 1080 divisors, whose sum is σ = 94037449968. Its totient is φ = 4242585600.

The previous prime is 20472328787. The next prime is 20472328801. The reversal of 20472328800 is 882327402.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20472328801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 54885414 + ... + 54885786.

Almost surely, 2^20472328800 is an apocalyptic number.

20472328800 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 20472328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47018724984).

20472328800 is an abundant number, since it is smaller than the sum of its proper divisors (73565121168).

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

20472328800 is a wasteful number, since it uses less digits than its factorization.

20472328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20472328800 in words is "twenty billion, four hundred seventy-two million, three hundred twenty-eight thousand, eight hundred".