1129155089920 has 640 divisors, whose sum is σ = 3246992179200. Its totient is φ = 371217530880.

The previous prime is 1129155089911. The next prime is 1129155089987. The reversal of 1129155089920 is 299805519211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (52).

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 63 ways as a sum of consecutive naturals, for example, 6927331759 + ... + 6927331921.

It is an arithmetic number, because the mean of its divisors is an integer number (5073425280).

Almost surely, 2^{1129155089920} is an apocalyptic number.

1129155089920 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 1129155089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623496089600).

1129155089920 is an abundant number, since it is smaller than the sum of its proper divisors (2117837089280).

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

1129155089920 is a wasteful number, since it uses less digits than its factorization.

1129155089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 52.

The spelling of 1129155089920 in words is "one trillion, one hundred twenty-nine billion, one hundred fifty-five million, eighty-nine thousand, nine hundred twenty".