2087505846720 has 896 divisors, whose sum is σ = 8606596147200. Its totient is φ = 472308019200.

The previous prime is 2087505846691. The next prime is 2087505846721. The reversal of 2087505846720 is 276485057802.

2087505846720 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 50 + 584 + 6 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087505846721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494784771 + ... + 494788989.

Almost surely, 2^{2087505846720} is an apocalyptic number.

2087505846720 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 2087505846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303298073600).

2087505846720 is an abundant number, since it is smaller than the sum of its proper divisors (6519090300480).

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

2087505846720 is an equidigital number, since it uses as much as digits as its factorization.

2087505846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2087505846720 in words is "two trillion, eighty-seven billion, five hundred five million, eight hundred forty-six thousand, seven hundred twenty".