1131012673560 has 512 divisors, whose sum is σ = 4710539059200. Its totient is φ = 234504322560.

The previous prime is 1131012673547. The next prime is 1131012673579. The reversal of 1131012673560 is 653762101311.

1131012673560 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 1 + 26 + 73 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38821159 + ... + 38850281.

It is an arithmetic number, because the mean of its divisors is an integer number (9200271600).

Almost surely, 2^{1131012673560} is an apocalyptic number.

1131012673560 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 1131012673560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355269529600).

1131012673560 is an abundant number, since it is smaller than the sum of its proper divisors (3579526385640).

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

1131012673560 is a wasteful number, since it uses less digits than its factorization.

1131012673560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29628 (or 29618 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 1131012673560 its reverse (653762101311), we get a palindrome (1784774774871).

The spelling of 1131012673560 in words is "one trillion, one hundred thirty-one billion, twelve million, six hundred seventy-three thousand, five hundred sixty".