1129962516480 has 1248 divisors, whose sum is σ = 4658333097600. Its totient is φ = 253176053760.

The previous prime is 1129962516479. The next prime is 1129962516497. The reversal of 1129962516480 is 846152699211.

1129962516480 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 625 + 1 + 6 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3856527214 + ... + 3856527506.

It is an arithmetic number, because the mean of its divisors is an integer number (3732638700).

Almost surely, 2^{1129962516480} is an apocalyptic number.

1129962516480 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 1129962516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329166548800).

1129962516480 is an abundant number, since it is smaller than the sum of its proper divisors (3528370581120).

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

1129962516480 is an equidigital number, since it uses as much as digits as its factorization.

1129962516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1129962516480 in words is "one trillion, one hundred twenty-nine billion, nine hundred sixty-two million, five hundred sixteen thousand, four hundred eighty".