1180129073760 has 1152 divisors, whose sum is σ = 5298221021184. Its totient is φ = 232110489600.

The previous prime is 1180129073729. The next prime is 1180129073779. The reversal of 1180129073760 is 673709210811.

1180129073760 is a `hidden beast` number, since 1 + 180 + 12 + 90 + 7 + 376 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 238359285 + ... + 238364235.

It is an arithmetic number, because the mean of its divisors is an integer number (4599150192).

Almost surely, 2^{1180129073760} is an apocalyptic number.

1180129073760 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 1180129073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649110510592).

1180129073760 is an abundant number, since it is smaller than the sum of its proper divisors (4118091947424).

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

1180129073760 is a wasteful number, since it uses less digits than its factorization.

1180129073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1180129073760 in words is "one trillion, one hundred eighty billion, one hundred twenty-nine million, seventy-three thousand, seven hundred sixty".