1131572804868 has 240 divisors, whose sum is σ = 3341215785600. Its totient is φ = 330793182720.

The previous prime is 1131572804867. The next prime is 1131572804899. The reversal of 1131572804868 is 8684082751311.

1131572804868 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 572 + 8 + 0 + 4 + 8 + 68 = 666.

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 (1131572804863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141283648 + ... + 141291656.

It is an arithmetic number, because the mean of its divisors is an integer number (13921732440).

Almost surely, 2^{1131572804868} is an apocalyptic number.

1131572804868 is a gapful number since it is divisible by the number (18) 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 1131572804868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670607892800).

1131572804868 is an abundant number, since it is smaller than the sum of its proper divisors (2209642980732).

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

1131572804868 is a wasteful number, since it uses less digits than its factorization.

1131572804868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1131572804868 in words is "one trillion, one hundred thirty-one billion, five hundred seventy-two million, eight hundred four thousand, eight hundred sixty-eight".