165276230400 has 648 divisors, whose sum is σ = 636145159104. Its totient is φ = 40786329600.

The previous prime is 165276230387. The next prime is 165276230437. The reversal of 165276230400 is 4032672561.

165276230400 is a `hidden beast` number, since 1 + 6 + 5 + 27 + 623 + 0 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59729817 + ... + 59732583.

Almost surely, 2^165276230400 is an apocalyptic number.

165276230400 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 165276230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318072579552).

165276230400 is an abundant number, since it is smaller than the sum of its proper divisors (470868928704).

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

165276230400 is a wasteful number, since it uses less digits than its factorization.

165276230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 165276230400 in words is "one hundred sixty-five billion, two hundred seventy-six million, two hundred thirty thousand, four hundred".