1072819492900 has 27 divisors (see below), whose sum is σ = 2328040776019. Its totient is φ = 429123654080.

The previous prime is 1072819492889. The next prime is 1072819492991. The reversal of 1072819492900 is 92949182701.

The square root of 1072819492900 is 1035770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 72035339236 + 1000784153664 = 268394^2 + 1000392^2 .

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 8 ways as a sum of consecutive naturals, for example, 10305912 + ... + 10409488.

Almost surely, 2^{1072819492900} is an apocalyptic number.

1072819492900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1072819492900 is the 1035770-th square number.

It is an amenable number.

1072819492900 is an abundant number, since it is smaller than the sum of its proper divisors (1255221283119).

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

1072819492900 is an frugal number, since it uses more digits than its factorization.

1072819492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207168 (or 103584 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 1072819492900 in words is "one trillion, seventy-two billion, eight hundred nineteen million, four hundred ninety-two thousand, nine hundred".