26152132608 has 672 divisors, whose sum is σ = 95624294400. Its totient is φ = 7023034368.

The previous prime is 26152132607. The next prime is 26152132609. The reversal of 26152132608 is 80623125162.

26152132608 is a `hidden beast` number, since 2 + 6 + 15 + 2 + 1 + 32 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (26152132607) and next prime (26152132609).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26152132603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205922241 + ... + 205922367.

Almost surely, 2^26152132608 is an apocalyptic number.

26152132608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26152132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47812147200).

26152132608 is an abundant number, since it is smaller than the sum of its proper divisors (69472161792).

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

26152132608 is a wasteful number, since it uses less digits than its factorization.

26152132608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 26152132608 in words is "twenty-six billion, one hundred fifty-two million, one hundred thirty-two thousand, six hundred eight".