1129957562160 has 480 divisors, whose sum is σ = 4734231989760. Its totient is φ = 244681979904.

The previous prime is 1129957562137. The next prime is 1129957562161. The reversal of 1129957562160 is 612657599211.

1129957562160 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 5 + 7 + 5 + 621 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1129957562097 and 1129957562106.

It is not an unprimeable number, because it can be changed into a prime (1129957562161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2367004 + ... + 2804036.

It is an arithmetic number, because the mean of its divisors is an integer number (9862983312).

Almost surely, 2^{1129957562160} is an apocalyptic number.

1129957562160 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 1129957562160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367115994880).

1129957562160 is an abundant number, since it is smaller than the sum of its proper divisors (3604274427600).

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

1129957562160 is a wasteful number, since it uses less digits than its factorization.

1129957562160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437087 (or 437069 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 1129957562160 in words is "one trillion, one hundred twenty-nine billion, nine hundred fifty-seven million, five hundred sixty-two thousand, one hundred sixty".