20479819248 has 160 divisors (see below), whose sum is σ = 68185873920. Its totient is φ = 5763985920.

The previous prime is 20479819247. The next prime is 20479819331. The reversal of 20479819248 is 84291897402.

20479819248 is a `hidden beast` number, since 2 + 0 + 479 + 81 + 92 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20479819194 and 20479819203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20479819247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152068 + ... + 253148.

It is an arithmetic number, because the mean of its divisors is an integer number (426161712).

Almost surely, 2^20479819248 is an apocalyptic number.

20479819248 is a gapful number since it is divisible by the number (28) 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 20479819248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34092936960).

20479819248 is an abundant number, since it is smaller than the sum of its proper divisors (47706054672).

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

20479819248 is a wasteful number, since it uses less digits than its factorization.

20479819248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101172 (or 101160 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 20479819248 in words is "twenty billion, four hundred seventy-nine million, eight hundred nineteen thousand, two hundred forty-eight".