1131875767680 has 512 divisors, whose sum is σ = 4224750566400. Its totient is φ = 252401909760.

The previous prime is 1131875767679. The next prime is 1131875767703. The reversal of 1131875767680 is 867675781311.

It is a super-2 number, since 2×1131875767680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 128925531 + ... + 128934309.

It is an arithmetic number, because the mean of its divisors is an integer number (8251465950).

Almost surely, 2^{1131875767680} is an apocalyptic number.

1131875767680 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 1131875767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112375283200).

1131875767680 is an abundant number, since it is smaller than the sum of its proper divisors (3092874798720).

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

1131875767680 is a wasteful number, since it uses less digits than its factorization.

1131875767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9042 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 60.

The spelling of 1131875767680 in words is "one trillion, one hundred thirty-one billion, eight hundred seventy-five million, seven hundred sixty-seven thousand, six hundred eighty".