20182824480 has 768 divisors, whose sum is σ = 83642388480. Its totient is φ = 3972022272.

The previous prime is 20182824479. The next prime is 20182824481. The reversal of 20182824480 is 8442828102.

It is an interprime number because it is at equal distance from previous prime (20182824479) and next prime (20182824481).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20182824481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68883214 + ... + 68883506.

It is an arithmetic number, because the mean of its divisors is an integer number (108909360).

Almost surely, 2^20182824480 is an apocalyptic number.

20182824480 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 20182824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41821194240).

20182824480 is an abundant number, since it is smaller than the sum of its proper divisors (63459564000).

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

20182824480 is a wasteful number, since it uses less digits than its factorization.

20182824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The spelling of 20182824480 in words is "twenty billion, one hundred eighty-two million, eight hundred twenty-four thousand, four hundred eighty".