165163622400 has 1344 divisors, whose sum is σ = 737187816960. Its totient is φ = 35389440000.

The previous prime is 165163622359. The next prime is 165163622443. The reversal of 165163622400 is 4226361561.

165163622400 is a `hidden beast` number, since 1 + 6 + 51 + 6 + 362 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658022275 + ... + 658022525.

It is an arithmetic number, because the mean of its divisors is an integer number (548502840).

Almost surely, 2^165163622400 is an apocalyptic number.

165163622400 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 165163622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368593908480).

165163622400 is an abundant number, since it is smaller than the sum of its proper divisors (572024194560).

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

165163622400 is a wasteful number, since it uses less digits than its factorization.

165163622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 165163622400 its reverse (4226361561), we get a palindrome (169389983961).

The spelling of 165163622400 in words is "one hundred sixty-five billion, one hundred sixty-three million, six hundred twenty-two thousand, four hundred".