2086108732800 has 1344 divisors, whose sum is σ = 8387042726160. Its totient is φ = 510404198400.

The previous prime is 2086108732793. The next prime is 2086108732831. The reversal of 2086108732800 is 82378016802.

2086108732800 is a `hidden beast` number, since 2 + 0 + 8 + 610 + 8 + 7 + 3 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1625960959 + ... + 1625962241.

Almost surely, 2^{2086108732800} is an apocalyptic number.

2086108732800 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 2086108732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193521363080).

2086108732800 is an abundant number, since it is smaller than the sum of its proper divisors (6300933993360).

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

2086108732800 is a wasteful number, since it uses less digits than its factorization.

2086108732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2086108732800 in words is "two trillion, eighty-six billion, one hundred eight million, seven hundred thirty-two thousand, eight hundred".