172263000400000 has 96 divisors (see below), whose sum is σ = 428947791717060. Its totient is φ = 68905200000000.

The previous prime is 172263000399947. The next prime is 172263000400009. The reversal of 172263000400000 is 4000362271.

It can be written as a sum of positive squares in 6 ways, for example, as 18275351401024 + 153987648998976 = 4274968^2 + 12409176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (172263000400009) 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 11 ways as a sum of consecutive naturals, for example, 214928751 + ... + 215728750.

Almost surely, 2^{172263000400000} is an apocalyptic number.

172263000400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172263000400000 is an abundant number, since it is smaller than the sum of its proper divisors (256684791317060).

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

172263000400000 is an frugal number, since it uses more digits than its factorization.

172263000400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430657540 (or 430657508 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 172263000400000 its reverse (4000362271), we get a palindrome (172267000762271).

The spelling of 172263000400000 in words is "one hundred seventy-two trillion, two hundred sixty-three billion, four hundred thousand".