1161202728960 has 640 divisors, whose sum is σ = 4408805784240. Its totient is φ = 291382493184.

The previous prime is 1161202728937. The next prime is 1161202729031. The reversal of 1161202728960 is 698272021611.

1161202728960 is a `hidden beast` number, since 1 + 1 + 612 + 0 + 2 + 7 + 28 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225605107 + ... + 225610253.

Almost surely, 2^{1161202728960} is an apocalyptic number.

1161202728960 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 1161202728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204402892120).

1161202728960 is an abundant number, since it is smaller than the sum of its proper divisors (3247603055280).

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

1161202728960 is an frugal number, since it uses more digits than its factorization.

1161202728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1161202728960 in words is "one trillion, one hundred sixty-one billion, two hundred two million, seven hundred twenty-eight thousand, nine hundred sixty".