1129072664160 has 768 divisors, whose sum is σ = 4586919321600. Its totient is φ = 254058135552.

The previous prime is 1129072664129. The next prime is 1129072664189. The reversal of 1129072664160 is 614662709211.

1129072664160 is a `hidden beast` number, since 1 + 1 + 290 + 7 + 266 + 41 + 60 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1416652882 + ... + 1416653678.

It is an arithmetic number, because the mean of its divisors is an integer number (5972551200).

Almost surely, 2^{1129072664160} is an apocalyptic number.

1129072664160 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 1129072664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293459660800).

1129072664160 is an abundant number, since it is smaller than the sum of its proper divisors (3457846657440).

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

1129072664160 is a wasteful number, since it uses less digits than its factorization.

1129072664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1129072664160 in words is "one trillion, one hundred twenty-nine billion, seventy-two million, six hundred sixty-four thousand, one hundred sixty".