2087359722000 has 2160 divisors, whose sum is σ = 9505098420480. Its totient is φ = 424424448000.

The previous prime is 2087359721987. The next prime is 2087359722031. The reversal of 2087359722000 is 2279537802.

2087359722000 is a `hidden beast` number, since 20 + 8 + 7 + 359 + 72 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4843061785 + ... + 4843062215.

It is an arithmetic number, because the mean of its divisors is an integer number (4400508528).

Almost surely, 2^{2087359722000} is an apocalyptic number.

2087359722000 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 2087359722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752549210240).

2087359722000 is an abundant number, since it is smaller than the sum of its proper divisors (7417738698480).

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

2087359722000 is a wasteful number, since it uses less digits than its factorization.

2087359722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2087359722000 in words is "two trillion, eighty-seven billion, three hundred fifty-nine million, seven hundred twenty-two thousand".