20479253760 has 288 divisors, whose sum is σ = 83055732480. Its totient is φ = 4680916992.

The previous prime is 20479253737. The next prime is 20479253761. The reversal of 20479253760 is 6735297402.

20479253760 is a `hidden beast` number, since 20 + 4 + 7 + 92 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20479253761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199594 + ... + 284246.

It is an arithmetic number, because the mean of its divisors is an integer number (288387960).

Almost surely, 2^20479253760 is an apocalyptic number.

20479253760 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 20479253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41527866240).

20479253760 is an abundant number, since it is smaller than the sum of its proper divisors (62576478720).

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

20479253760 is an equidigital number, since it uses as much as digits as its factorization.

20479253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84690 (or 84670 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 20479253760 in words is "twenty billion, four hundred seventy-nine million, two hundred fifty-three thousand, seven hundred sixty".