1139295056640 has 576 divisors, whose sum is σ = 4220919521280. Its totient is φ = 259587440640.

The previous prime is 1139295056639. The next prime is 1139295056681. The reversal of 1139295056640 is 466505929311.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 35576956 + ... + 35608964.

It is an arithmetic number, because the mean of its divisors is an integer number (7327985280).

Almost surely, 2^{1139295056640} is an apocalyptic number.

1139295056640 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 1139295056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110459760640).

1139295056640 is an abundant number, since it is smaller than the sum of its proper divisors (3081624464640).

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

1139295056640 is a wasteful number, since it uses less digits than its factorization.

1139295056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32100 (or 32086 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 1139295056640 in words is "one trillion, one hundred thirty-nine billion, two hundred ninety-five million, fifty-six thousand, six hundred forty".