874786090000 has 225 divisors, whose sum is σ = 2174894878827. Its totient is φ = 340748496000.

The previous prime is 874786089997. The next prime is 874786090043. The reversal of 874786090000 is 90687478.

The square root of 874786090000 is 935300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 68583229456 + 806202860544 = 261884^2 + 897888^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 4395909901 + ... + 4395910099.

Almost surely, 2^874786090000 is an apocalyptic number.

874786090000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

874786090000 is the 935300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874786090000

874786090000 is an abundant number, since it is smaller than the sum of its proper divisors (1300108788827).

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

874786090000 is an frugal number, since it uses more digits than its factorization.

874786090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 874786090000 by its sum of digits (49), we get a square (42864518410000 = 6547100²).

The spelling of 874786090000 in words is "eight hundred seventy-four billion, seven hundred eighty-six million, ninety thousand".