20887335465360 has 1280 divisors, whose sum is σ = 86572443009024. Its totient is φ = 4040862990336.

The previous prime is 20887335465319. The next prime is 20887335465383. The reversal of 20887335465360 is 6356453378802.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 20887335465294 and 20887335465303.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3961183684 + ... + 3961188956.

Almost surely, 2^{20887335465360} is an apocalyptic number.

20887335465360 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 20887335465360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43286221504512).

20887335465360 is an abundant number, since it is smaller than the sum of its proper divisors (65685107543664).

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

20887335465360 is a wasteful number, since it uses less digits than its factorization.

20887335465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 20887335465360 in words is "twenty trillion, eight hundred eighty-seven billion, three hundred thirty-five million, four hundred sixty-five thousand, three hundred sixty".