20428429560 has 256 divisors, whose sum is σ = 77486284800. Its totient is φ = 4184947200.

The previous prime is 20428429537. The next prime is 20428429561. The reversal of 20428429560 is 6592482402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20428429561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640471 + ... + 671609.

It is an arithmetic number, because the mean of its divisors is an integer number (302680800).

Almost surely, 2^20428429560 is an apocalyptic number.

20428429560 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 20428429560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38743142400).

20428429560 is an abundant number, since it is smaller than the sum of its proper divisors (57057855240).

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

20428429560 is a wasteful number, since it uses less digits than its factorization.

20428429560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31242 (or 31238 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 20428429560 in words is "twenty billion, four hundred twenty-eight million, four hundred twenty-nine thousand, five hundred sixty".