20877818895360 has 2640 divisors, whose sum is σ = 95633020707840. Its totient is φ = 4322510438400.

The previous prime is 20877818895347. The next prime is 20877818895377. The reversal of 20877818895360 is 6359881877802.

20877818895360 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 7 + 8 + 1 + 8 + 89 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8880398185 + ... + 8880400535.

It is an arithmetic number, because the mean of its divisors is an integer number (36224629056).

Almost surely, 2^{20877818895360} is an apocalyptic number.

20877818895360 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 20877818895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47816510353920).

20877818895360 is an abundant number, since it is smaller than the sum of its proper divisors (74755201812480).

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

20877818895360 is a wasteful number, since it uses less digits than its factorization.

20877818895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 20877818895360 in words is "twenty trillion, eight hundred seventy-seven billion, eight hundred eighteen million, eight hundred ninety-five thousand, three hundred sixty".