1013779250880 has 448 divisors, whose sum is σ = 3632646389760. Its totient is φ = 237311078400.

The previous prime is 1013779250873. The next prime is 1013779250893. The reversal of 1013779250880 is 880529773101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159421141 + ... + 159427499.

Almost surely, 2^{1013779250880} is an apocalyptic number.

1013779250880 is a gapful number since it is divisible by the number (10) 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 1013779250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816323194880).

1013779250880 is an abundant number, since it is smaller than the sum of its proper divisors (2618867138880).

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

1013779250880 is a wasteful number, since it uses less digits than its factorization.

1013779250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 1013779250880 in words is "one trillion, thirteen billion, seven hundred seventy-nine million, two hundred fifty thousand, eight hundred eighty".