165421158400 has 351 divisors, whose sum is σ = 434443341819. Its totient is φ = 62472192000.

The previous prime is 165421158377. The next prime is 165421158437. The reversal of 165421158400 is 4851124561.

The square root of 165421158400 is 406720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69628432384 + 95792726016 = 263872^2 + 309504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165421158400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4034662380 + ... + 4034662420.

Almost surely, 2^165421158400 is an apocalyptic number.

165421158400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165421158400 is the 406720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165421158400

165421158400 is an abundant number, since it is smaller than the sum of its proper divisors (269022183419).

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

165421158400 is an frugal number, since it uses more digits than its factorization.

165421158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 165421158400 in words is "one hundred sixty-five billion, four hundred twenty-one million, one hundred fifty-eight thousand, four hundred".