1129779424800 has 576 divisors, whose sum is σ = 4552114896000. Its totient is φ = 268507975680.

The previous prime is 1129779424793. The next prime is 1129779424831. The reversal of 1129779424800 is 84249779211.

1129779424800 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 77 + 94 + 2 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8073831 + ... + 8212569.

It is an arithmetic number, because the mean of its divisors is an integer number (7902977250).

Almost surely, 2^{1129779424800} is an apocalyptic number.

1129779424800 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 1129779424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276057448000).

1129779424800 is an abundant number, since it is smaller than the sum of its proper divisors (3422335471200).

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

1129779424800 is a wasteful number, since it uses less digits than its factorization.

1129779424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138810 (or 138791 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1129779424800 in words is "one trillion, one hundred twenty-nine billion, seven hundred seventy-nine million, four hundred twenty-four thousand, eight hundred".