26630164000 has 144 divisors (see below), whose sum is σ = 71920576728. Its totient is φ = 9683520000.

The previous prime is 26630163997. The next prime is 26630164009. The reversal of 26630164000 is 46103662.

It can be written as a sum of positive squares in 4 ways, for example, as 5200717456 + 21429446544 = 72116^2 + 146388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26630164000.

It is not an unprimeable number, because it can be changed into a prime (26630164009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456490 + ... + 511510.

Almost surely, 2^26630164000 is an apocalyptic number.

26630164000 is a gapful number since it is divisible by the number (20) 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 26630164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35960288364).

26630164000 is an abundant number, since it is smaller than the sum of its proper divisors (45290412728).

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

26630164000 is a wasteful number, since it uses less digits than its factorization.

26630164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55068 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 26630164000 its reverse (46103662), we get a palindrome (26676267662).

The spelling of 26630164000 in words is "twenty-six billion, six hundred thirty million, one hundred sixty-four thousand".