26414560152 has 192 divisors, whose sum is σ = 79963135200. Its totient is φ = 7828254720.

The previous prime is 26414560091. The next prime is 26414560181. The reversal of 26414560152 is 25106541462.

26414560152 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 45 + 601 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 9231202 + ... + 9234062.

Almost surely, 2^26414560152 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 26414560152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39981567600).

26414560152 is an abundant number, since it is smaller than the sum of its proper divisors (53548575048).

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

26414560152 is a wasteful number, since it uses less digits than its factorization.

26414560152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 26414560152 in words is "twenty-six billion, four hundred fourteen million, five hundred sixty thousand, one hundred fifty-two".