26676088712100 has 243 divisors, whose sum is σ = 84455956957827. Its totient is φ = 7042761365760.

The previous prime is 26676088712071. The next prime is 26676088712129. The reversal of 26676088712100 is 121788067662.

The square root of 26676088712100 is 5164890.

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

26676088712100 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 608 + 8 + 7 + 1 + 21 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26676088712071) and next prime (26676088712129).

It can be written as a sum of positive squares in 4 ways, for example, as 5992439618916 + 20683649093184 = 2447946^2 + 4547928^2 .

It is a super-2 number, since 2×26676088712100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16579296096 + ... + 16579297704.

Almost surely, 2^{26676088712100} is an apocalyptic number.

26676088712100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26676088712100 is the 5164890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26676088712100

26676088712100 is an abundant number, since it is smaller than the sum of its proper divisors (57779868245727).

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

26676088712100 is a wasteful number, since it uses less digits than its factorization.

26676088712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 26676088712100 in words is "twenty-six trillion, six hundred seventy-six billion, eighty-eight million, seven hundred twelve thousand, one hundred".