20438152560 has 480 divisors, whose sum is σ = 84151042560. Its totient is φ = 4341123072.

The previous prime is 20438152529. The next prime is 20438152561. The reversal of 20438152560 is 6525183402.

20438152560 is a `hidden beast` number, since 2 + 0 + 43 + 8 + 1 + 52 + 560 = 666.

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 (20438152561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5073267 + ... + 5077293.

It is an arithmetic number, because the mean of its divisors is an integer number (175314672).

Almost surely, 2^20438152560 is an apocalyptic number.

20438152560 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 20438152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42075521280).

20438152560 is an abundant number, since it is smaller than the sum of its proper divisors (63712890000).

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

20438152560 is a wasteful number, since it uses less digits than its factorization.

20438152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20438152560 in words is "twenty billion, four hundred thirty-eight million, one hundred fifty-two thousand, five hundred sixty".