26936930406400 has 585 divisors, whose sum is σ = 78159497408853. Its totient is φ = 9207617126400.

The previous prime is 26936930406389. The next prime is 26936930406433. The reversal of 26936930406400 is 460403963962.

The square root of 26936930406400 is 5190080.

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

It can be written as a sum of positive squares in only one way, i.e., 9697294946304 + 17239635460096 = 3114048^2 + 4152064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81380454235 + ... + 81380454565.

Almost surely, 2^{26936930406400} is an apocalyptic number.

26936930406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26936930406400 is the 5190080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26936930406400

26936930406400 is an abundant number, since it is smaller than the sum of its proper divisors (51222567002453).

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

26936930406400 is an frugal number, since it uses more digits than its factorization.

26936930406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 52.

The spelling of 26936930406400 in words is "twenty-six trillion, nine hundred thirty-six billion, nine hundred thirty million, four hundred six thousand, four hundred".