1165217638000 has 320 divisors, whose sum is σ = 3216709117440. Its totient is φ = 404422656000.

The previous prime is 1165217637989. The next prime is 1165217638001. The reversal of 1165217638000 is 8367125611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165217638001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622777065 + ... + 622778935.

It is an arithmetic number, because the mean of its divisors is an integer number (10052215992).

Almost surely, 2^{1165217638000} is an apocalyptic number.

1165217638000 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 1165217638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608354558720).

1165217638000 is an abundant number, since it is smaller than the sum of its proper divisors (2051491479440).

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

1165217638000 is a wasteful number, since it uses less digits than its factorization.

1165217638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 1165217638000 in words is "one trillion, one hundred sixty-five billion, two hundred seventeen million, six hundred thirty-eight thousand".