165455546400 has 288 divisors, whose sum is σ = 633598822080. Its totient is φ = 41526005760.

The previous prime is 165455546339. The next prime is 165455546411. The reversal of 165455546400 is 4645554561.

165455546400 is a `hidden beast` number, since 1 + 6 + 54 + 5 + 554 + 6 + 40 + 0 = 666.

165455546400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-5 number, since 5×165455546400⁵ (a number of 57 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141907 + ... + 592493.

It is an arithmetic number, because the mean of its divisors is an integer number (2199995910).

Almost surely, 2^165455546400 is an apocalyptic number.

165455546400 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 165455546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316799411040).

165455546400 is an abundant number, since it is smaller than the sum of its proper divisors (468143275680).

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

165455546400 is a wasteful number, since it uses less digits than its factorization.

165455546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450633 (or 450614 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 165455546400 in words is "one hundred sixty-five billion, four hundred fifty-five million, five hundred forty-six thousand, four hundred".