1139125680 has 480 divisors, whose sum is σ = 4952683008. Its totient is φ = 236390400.

The previous prime is 1139125667. The next prime is 1139125703. The reversal of 1139125680 is 865219311.

1139125680 is a `hidden beast` number, since 1 + 1 + 3 + 91 + 2 + 568 + 0 = 666.

1139125680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496500 + ... + 1497260.

Almost surely, 2^1139125680 is an apocalyptic number.

1139125680 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 1139125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476341504).

1139125680 is an abundant number, since it is smaller than the sum of its proper divisors (3813557328).

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

1139125680 is a wasteful number, since it uses less digits than its factorization.

1139125680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1139125680 is about 33750.9359870212. The cubic root of 1139125680 is about 1044.3767962154.

The spelling of 1139125680 in words is "one billion, one hundred thirty-nine million, one hundred twenty-five thousand, six hundred eighty".