1760000222500 has 225 divisors, whose sum is σ = 4196214366729. Its totient is φ = 645707088000.

The previous prime is 1760000222489. The next prime is 1760000222531. The reversal of 1760000222500 is 52220000671.

The square root of 1760000222500 is 1326650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 37 ways, for example, as 394075084516 + 1365925137984 = 627754^2 + 1168728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 11210192422 + ... + 11210192578.

Almost surely, 2^{1760000222500} is an apocalyptic number.

1760000222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1760000222500 is the 1326650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1760000222500

1760000222500 is an abundant number, since it is smaller than the sum of its proper divisors (2436214144229).

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

1760000222500 is an frugal number, since it uses more digits than its factorization.

1760000222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Multiplying 1760000222500 by its sum of digits (25), we get a square (44000005562500 = 6633250²).

1760000222500 divided by its sum of digits (25) gives a square (70400008900 = 265330²).

The spelling of 1760000222500 in words is "one trillion, seven hundred sixty billion, two hundred twenty-two thousand, five hundred".