1165626288000 has 1536 divisors, whose sum is σ = 4726245888000. Its totient is φ = 284414976000.

The previous prime is 1165626287963. The next prime is 1165626288007. The reversal of 1165626288000 is 8826265611.

1165626288000 is a `hidden beast` number, since 1 + 1 + 6 + 562 + 6 + 2 + 8 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165626288007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2290031746 + ... + 2290032254.

It is an arithmetic number, because the mean of its divisors is an integer number (3076983000).

Almost surely, 2^{1165626288000} is an apocalyptic number.

1165626288000 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 1165626288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363122944000).

1165626288000 is an abundant number, since it is smaller than the sum of its proper divisors (3560619600000).

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

1165626288000 is an equidigital number, since it uses as much as digits as its factorization.

1165626288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1165626288000 in words is "one trillion, one hundred sixty-five billion, six hundred twenty-six million, two hundred eighty-eight thousand".