2088500785920 has 1008 divisors, whose sum is σ = 7839250100640. Its totient is φ = 532189937664.

The previous prime is 2088500785909. The next prime is 2088500785927. The reversal of 2088500785920 is 295870058802.

2088500785920 is a `hidden beast` number, since 2 + 0 + 88 + 500 + 7 + 8 + 59 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2088500785927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3057833899 + ... + 3057834581.

It is an arithmetic number, because the mean of its divisors is an integer number (7777033830).

Almost surely, 2^{2088500785920} is an apocalyptic number.

2088500785920 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 2088500785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919625050320).

2088500785920 is an abundant number, since it is smaller than the sum of its proper divisors (5750749314720).

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

2088500785920 is an equidigital number, since it uses as much as digits as its factorization.

2088500785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 2088500785920 in words is "two trillion, eighty-eight billion, five hundred million, seven hundred eighty-five thousand, nine hundred twenty".