1167438490680 has 1024 divisors, whose sum is σ = 4611188736000. Its totient is φ = 234223073280.

The previous prime is 1167438490609. The next prime is 1167438490703. The reversal of 1167438490680 is 860948347611.

It is a self number, because there is not a number n which added to its sum of digits gives 1167438490680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3802731087 + ... + 3802731393.

It is an arithmetic number, because the mean of its divisors is an integer number (4503114000).

Almost surely, 2^{1167438490680} is an apocalyptic number.

1167438490680 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 1167438490680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305594368000).

1167438490680 is an abundant number, since it is smaller than the sum of its proper divisors (3443750245320).

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

1167438490680 is a wasteful number, since it uses less digits than its factorization.

1167438490680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 1167438490680 in words is "one trillion, one hundred sixty-seven billion, four hundred thirty-eight million, four hundred ninety thousand, six hundred eighty".