1171953561600 has 1872 divisors, whose sum is σ = 4867482746880. Its totient is φ = 267544166400.

The previous prime is 1171953561557. The next prime is 1171953561643. The reversal of 1171953561600 is 61653591711.

1171953561600 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 9 + 5 + 35 + 6 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1171953561557) and next prime (1171953561643).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 9227980737 + ... + 9227980863.

It is an arithmetic number, because the mean of its divisors is an integer number (2600151040).

Almost surely, 2^{1171953561600} is an apocalyptic number.

1171953561600 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 1171953561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433741373440).

1171953561600 is an abundant number, since it is smaller than the sum of its proper divisors (3695529185280).

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

1171953561600 is a wasteful number, since it uses less digits than its factorization.

1171953561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 1171953561600 in words is "one trillion, one hundred seventy-one billion, nine hundred fifty-three million, five hundred sixty-one thousand, six hundred".