20504249001360 has 560 divisors, whose sum is σ = 72358799990400. Its totient is φ = 5400395421696.

The previous prime is 20504249001359. The next prime is 20504249001361. The reversal of 20504249001360 is 6310094240502.

It is a happy number.

20504249001360 is a `hidden beast` number, since 2 + 0 + 50 + 4 + 249 + 0 + 0 + 1 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (20504249001359) and next prime (20504249001361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20504249001361) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6659384301 + ... + 6659387379.

It is an arithmetic number, because the mean of its divisors is an integer number (129212142840).

Almost surely, 2^{20504249001360} is an apocalyptic number.

20504249001360 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 20504249001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36179399995200).

20504249001360 is an abundant number, since it is smaller than the sum of its proper divisors (51854550989040).

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

20504249001360 is a wasteful number, since it uses less digits than its factorization.

20504249001360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20504249001360 in words is "twenty trillion, five hundred four billion, two hundred forty-nine million, one thousand, three hundred sixty".