165252053401600 has 765 divisors, whose sum is σ = 456298142728165. Its totient is φ = 59367659929600.

The previous prime is 165252053401583. The next prime is 165252053401601. The reversal of 165252053401600 is 6104350252561.

The square root of 165252053401600 is 12855040.

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

It can be written as a sum of positive squares in only one way, i.e., 59490739224576 + 105761314177024 = 7713024^2 + 10284032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (165252053401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1990988595159 + ... + 1990988595241.

Almost surely, 2^{165252053401600} is an apocalyptic number.

165252053401600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165252053401600 is the 12855040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165252053401600

165252053401600 is an abundant number, since it is smaller than the sum of its proper divisors (291046089326565).

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

165252053401600 is an frugal number, since it uses more digits than its factorization.

165252053401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 165252053401600 in words is "one hundred sixty-five trillion, two hundred fifty-two billion, fifty-three million, four hundred one thousand, six hundred".