26381150800 has 60 divisors (see below), whose sum is σ = 67109009436. Its totient is φ = 9931724800.

The previous prime is 26381150767. The next prime is 26381150801. The reversal of 26381150800 is 805118362.

It can be written as a sum of positive squares in 6 ways, for example, as 512931904 + 25868218896 = 22648^2 + 160836^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26381150801) 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 11 ways as a sum of consecutive naturals, for example, 1932991 + ... + 1946590.

Almost surely, 2^26381150800 is an apocalyptic number.

26381150800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26381150800 is an abundant number, since it is smaller than the sum of its proper divisors (40727858636).

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

26381150800 is a wasteful number, since it uses less digits than its factorization.

26381150800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879616 (or 3879605 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 26381150800 in words is "twenty-six billion, three hundred eighty-one million, one hundred fifty thousand, eight hundred".