1165012070400 has 624 divisors, whose sum is σ = 4322426085120. Its totient is φ = 307578470400.

The previous prime is 1165012070351. The next prime is 1165012070401. The reversal of 1165012070400 is 40702105611.

It is a happy number.

1165012070400 is a `hidden beast` number, since 1 + 1 + 6 + 50 + 1 + 207 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165012070401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284772355 + ... + 284776445.

It is an arithmetic number, because the mean of its divisors is an integer number (6926964880).

Almost surely, 2^{1165012070400} is an apocalyptic number.

1165012070400 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 1165012070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161213042560).

1165012070400 is an abundant number, since it is smaller than the sum of its proper divisors (3157414014720).

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

1165012070400 is a wasteful number, since it uses less digits than its factorization.

1165012070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1165012070400 in words is "one trillion, one hundred sixty-five billion, twelve million, seventy thousand, four hundred".