1129151358720 has 2592 divisors, whose sum is σ = 5535453530880. Its totient is φ = 208833085440.

The previous prime is 1129151358719. The next prime is 1129151358743. The reversal of 1129151358720 is 278531519211.

1129151358720 is a `hidden beast` number, since 1 + 1 + 29 + 15 + 13 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2005597159 + ... + 2005597721.

It is an arithmetic number, because the mean of its divisors is an integer number (2135591640).

Almost surely, 2^{1129151358720} is an apocalyptic number.

1129151358720 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 1129151358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767726765440).

1129151358720 is an abundant number, since it is smaller than the sum of its proper divisors (4406302172160).

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

1129151358720 is a wasteful number, since it uses less digits than its factorization.

1129151358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 1129151358720 in words is "one trillion, one hundred twenty-nine billion, one hundred fifty-one million, three hundred fifty-eight thousand, seven hundred twenty".