1161355321200 has 240 divisors, whose sum is σ = 3774814396416. Its totient is φ = 305154124800.

The previous prime is 1161355321199. The next prime is 1161355321211. The reversal of 1161355321200 is 21235531611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211037649 + ... + 211043151.

Almost surely, 2^{1161355321200} is an apocalyptic number.

1161355321200 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 1161355321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887407198208).

1161355321200 is an abundant number, since it is smaller than the sum of its proper divisors (2613459075216).

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

1161355321200 is a wasteful number, since it uses less digits than its factorization.

1161355321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1161355321200 in words is "one trillion, one hundred sixty-one billion, three hundred fifty-five million, three hundred twenty-one thousand, two hundred".