1160906709600 has 720 divisors, whose sum is σ = 4643198816256. Its totient is φ = 279925632000.

The previous prime is 1160906709577. The next prime is 1160906709653. The reversal of 1160906709600 is 69076090611.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 136140537 + ... + 136149063.

Almost surely, 2^{1160906709600} is an apocalyptic number.

1160906709600 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 1160906709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321599408128).

1160906709600 is an abundant number, since it is smaller than the sum of its proper divisors (3482292106656).

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

1160906709600 is a wasteful number, since it uses less digits than its factorization.

1160906709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1160906709600 in words is "one trillion, one hundred sixty billion, nine hundred six million, seven hundred nine thousand, six hundred".