1139182591680 has 1008 divisors, whose sum is σ = 4761641622240. Its totient is φ = 255640154112.

The previous prime is 1139182591627. The next prime is 1139182591681. The reversal of 1139182591680 is 861952819311.

It is a happy number.

1139182591680 is a `hidden beast` number, since 1 + 1 + 39 + 18 + 2 + 591 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1139182591681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1473715774 + ... + 1473716546.

Almost surely, 2^{1139182591680} is an apocalyptic number.

1139182591680 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 1139182591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380820811120).

1139182591680 is an abundant number, since it is smaller than the sum of its proper divisors (3622459030560).

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

1139182591680 is an equidigital number, since it uses as much as digits as its factorization.

1139182591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 1139182591680 in words is "one trillion, one hundred thirty-nine billion, one hundred eighty-two million, five hundred ninety-one thousand, six hundred eighty".