26049830400 has 720 divisors, whose sum is σ = 103674109968. Its totient is φ = 6193152000.

The previous prime is 26049830381. The next prime is 26049830407. The reversal of 26049830400 is 403894062.

It is a happy number.

26049830400 is a `hidden beast` number, since 2 + 604 + 9 + 8 + 3 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26049830407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77299032 + ... + 77299368.

Almost surely, 2^26049830400 is an apocalyptic number.

26049830400 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 26049830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51837054984).

26049830400 is an abundant number, since it is smaller than the sum of its proper divisors (77624279568).

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

26049830400 is a wasteful number, since it uses less digits than its factorization.

26049830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26049830400 in words is "twenty-six billion, forty-nine million, eight hundred thirty thousand, four hundred".