26685151416 has 192 divisors, whose sum is σ = 93012940800. Its totient is φ = 6707577600.

The previous prime is 26685151411. The next prime is 26685151457. The reversal of 26685151416 is 61415158662.

26685151416 is a `hidden beast` number, since 2 + 6 + 6 + 85 + 151 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26685151411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94230 + ... + 249498.

It is an arithmetic number, because the mean of its divisors is an integer number (484442400).

Almost surely, 2^26685151416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26685151416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46506470400).

26685151416 is an abundant number, since it is smaller than the sum of its proper divisors (66327789384).

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

26685151416 is a wasteful number, since it uses less digits than its factorization.

26685151416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155330 (or 155323 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 26685151416 in words is "twenty-six billion, six hundred eighty-five million, one hundred fifty-one thousand, four hundred sixteen".