165333820832400 has 240 divisors, whose sum is σ = 597689538010560. Its totient is φ = 38698825267200.

The previous prime is 165333820832351. The next prime is 165333820832407. The reversal of 165333820832400 is 4238028333561.

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

It is a super-2 number, since 2×165333820832400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 165333820832400.

It is not an unprimeable number, because it can be changed into a prime (165333820832407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215570467 + ... + 216336066.

It is an arithmetic number, because the mean of its divisors is an integer number (2490373075044).

Almost surely, 2^{165333820832400} is an apocalyptic number.

165333820832400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165333820832400 is an abundant number, since it is smaller than the sum of its proper divisors (432355717178160).

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

165333820832400 is a wasteful number, since it uses less digits than its factorization.

165333820832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431906594 (or 431906583 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 165333820832400 in words is "one hundred sixty-five trillion, three hundred thirty-three billion, eight hundred twenty million, eight hundred thirty-two thousand, four hundred".