26763136356100 has 81 divisors (see below), whose sum is σ = 60151054563327. Its totient is φ = 10335528423360.

The previous prime is 26763136356041. The next prime is 26763136356101. The reversal of 26763136356100 is 165363136762.

The square root of 26763136356100 is 5173310.

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 367873788676 + 26395262567424 = 606526^2 + 5137632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26763136356101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1500250981 + ... + 1500268819.

Almost surely, 2^{26763136356100} is an apocalyptic number.

26763136356100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26763136356100 is the 5173310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26763136356100

26763136356100 is an abundant number, since it is smaller than the sum of its proper divisors (33387918207227).

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

26763136356100 is an frugal number, since it uses more digits than its factorization.

26763136356100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35750 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 49.

The spelling of 26763136356100 in words is "twenty-six trillion, seven hundred sixty-three billion, one hundred thirty-six million, three hundred fifty-six thousand, one hundred".