1079874288900 has 729 divisors, whose sum is σ = 3858915908757. Its totient is φ = 252393609600.

The previous prime is 1079874288887. The next prime is 1079874288937. The reversal of 1079874288900 is 98824789701.

The square root of 1079874288900 is 1039170.

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

It can be written as a sum of positive squares in only one way, i.e., 388754744004 + 691119544896 = 623502^2 + 831336^2 .

It is a super-2 number, since 2×1079874288900² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 16117526667 + ... + 16117526733.

Almost surely, 2^{1079874288900} is an apocalyptic number.

1079874288900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1079874288900 is the 1039170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079874288900

1079874288900 is an abundant number, since it is smaller than the sum of its proper divisors (2779041619857).

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

1079874288900 is a wasteful number, since it uses less digits than its factorization.

1079874288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 1079874288900 in words is "one trillion, seventy-nine billion, eight hundred seventy-four million, two hundred eighty-eight thousand, nine hundred".