165104510400 has 252 divisors, whose sum is σ = 587176683912. Its totient is φ = 44001146880.

The previous prime is 165104510399. The next prime is 165104510407. The reversal of 165104510400 is 4015401561.

165104510400 is a `hidden beast` number, since 1 + 6 + 5 + 104 + 510 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165104510407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38546659 + ... + 38550941.

It is an arithmetic number, because the mean of its divisors is an integer number (2330066206).

Almost surely, 2^165104510400 is an apocalyptic number.

165104510400 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 165104510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293588341956).

165104510400 is an abundant number, since it is smaller than the sum of its proper divisors (422072173512).

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

165104510400 is a wasteful number, since it uses less digits than its factorization.

165104510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 165104510400 its reverse (4015401561), we get a palindrome (169119911961).

The spelling of 165104510400 in words is "one hundred sixty-five billion, one hundred four million, five hundred ten thousand, four hundred".