26649469800 has 432 divisors, whose sum is σ = 97085795040. Its totient is φ = 6789847680.

The previous prime is 26649469793. The next prime is 26649469853. The reversal of 26649469800 is 896494662.

26649469800 is a `hidden beast` number, since 2 + 66 + 49 + 469 + 80 + 0 = 666.

It is a super-2 number, since 2×26649469800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30180159 + ... + 30181041.

Almost surely, 2^26649469800 is an apocalyptic number.

26649469800 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 26649469800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48542897520).

26649469800 is an abundant number, since it is smaller than the sum of its proper divisors (70436325240).

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

26649469800 is an equidigital number, since it uses as much as digits as its factorization.

26649469800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 26649469800 in words is "twenty-six billion, six hundred forty-nine million, four hundred sixty-nine thousand, eight hundred".