1165589222400 has 660 divisors, whose sum is σ = 4327611041952. Its totient is φ = 309991587840.

The previous prime is 1165589222393. The next prime is 1165589222431. The reversal of 1165589222400 is 42229855611.

1165589222400 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 589 + 2 + 22 + 40 + 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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1416268389 + ... + 1416269211.

Almost surely, 2^{1165589222400} is an apocalyptic number.

1165589222400 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 1165589222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163805520976).

1165589222400 is an abundant number, since it is smaller than the sum of its proper divisors (3162021819552).

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

1165589222400 is an equidigital number, since it uses as much as digits as its factorization.

1165589222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1165589222400 in words is "one trillion, one hundred sixty-five billion, five hundred eighty-nine million, two hundred twenty-two thousand, four hundred".