1131029053056 has 1024 divisors, whose sum is σ = 4146351897600. Its totient is φ = 296209612800.

The previous prime is 1131029053031. The next prime is 1131029053087. The reversal of 1131029053056 is 6503509201311.

It is a happy number.

1131029053056 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 2 + 90 + 530 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1131029053056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3032249286 + ... + 3032249658.

It is an arithmetic number, because the mean of its divisors is an integer number (4049171775).

Almost surely, 2^{1131029053056} is an apocalyptic number.

1131029053056 is a gapful number since it is divisible by the number (16) 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 1131029053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073175948800).

1131029053056 is an abundant number, since it is smaller than the sum of its proper divisors (3015322844544).

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

1131029053056 is a wasteful number, since it uses less digits than its factorization.

1131029053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 1131029053056 in words is "one trillion, one hundred thirty-one billion, twenty-nine million, fifty-three thousand, fifty-six".