26476211414016 has 2673 divisors, whose sum is σ = 105017424818553. Its totient is φ = 6401830256640.

The previous prime is 26476211413999. The next prime is 26476211414027. The reversal of 26476211414016 is 61041411267462.

The square root of 26476211414016 is 5145504.

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

26476211414016 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 6 + 211 + 414 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3916599321600 + 22559612092416 = 1979040^2 + 4749696^2 .

It is a super-2 number, since 2×26476211414016² (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 242 ways as a sum of consecutive naturals, for example, 854071335921 + ... + 854071335951.

Almost surely, 2^{26476211414016} is an apocalyptic number.

26476211414016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26476211414016 is the 5145504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26476211414016

26476211414016 is an abundant number, since it is smaller than the sum of its proper divisors (78541213404537).

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

26476211414016 is a wasteful number, since it uses less digits than its factorization.

26476211414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26476211414016 in words is "twenty-six trillion, four hundred seventy-six billion, two hundred eleven million, four hundred fourteen thousand, sixteen".