1161009561600 has 1512 divisors, whose sum is σ = 5138523266240. Its totient is φ = 244611809280.

The previous prime is 1161009561589. The next prime is 1161009561623. The reversal of 1161009561600 is 61659001611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31378636782 + ... + 31378636818.

Almost surely, 2^{1161009561600} is an apocalyptic number.

1161009561600 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 1161009561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569261633120).

1161009561600 is an abundant number, since it is smaller than the sum of its proper divisors (3977513704640).

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

1161009561600 is an frugal number, since it uses more digits than its factorization.

1161009561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1161009561600 in words is "one trillion, one hundred sixty-one billion, nine million, five hundred sixty-one thousand, six hundred".