26325001600 has 192 divisors, whose sum is σ = 70666905600. Its totient is φ = 9653299200.

The previous prime is 26325001597. The next prime is 26325001603. The reversal of 26325001600 is 610052362.

It is an interprime number because it is at equal distance from previous prime (26325001597) and next prime (26325001603).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26325001603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1877817 + ... + 1891783.

It is an arithmetic number, because the mean of its divisors is an integer number (368056800).

Almost surely, 2^26325001600 is an apocalyptic number.

26325001600 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 26325001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35333452800).

26325001600 is an abundant number, since it is smaller than the sum of its proper divisors (44341904000).

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

26325001600 is a wasteful number, since it uses less digits than its factorization.

26325001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14041 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 26325001600 its reverse (610052362), we get a palindrome (26935053962).

The spelling of 26325001600 in words is "twenty-six billion, three hundred twenty-five million, one thousand, six hundred".