26968208400 has 1215 divisors, whose sum is σ = 120894098871. Its totient is φ = 5549322240.

The previous prime is 26968208341. The next prime is 26968208411. The reversal of 26968208400 is 480286962.

The square root of 26968208400 is 164220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 630813456 + 26337394944 = 25116^2 + 162288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1172530789 + ... + 1172530811.

Almost surely, 2^26968208400 is an apocalyptic number.

26968208400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26968208400 is the 164220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26968208400

26968208400 is an abundant number, since it is smaller than the sum of its proper divisors (93925890471).

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

26968208400 is a wasteful number, since it uses less digits than its factorization.

26968208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26968208400 in words is "twenty-six billion, nine hundred sixty-eight million, two hundred eight thousand, four hundred".