26058040632 has 256 divisors, whose sum is σ = 79819084800. Its totient is φ = 7827356160.

The previous prime is 26058040609. The next prime is 26058040633. The reversal of 26058040632 is 23604085062.

26058040632 is a `hidden beast` number, since 2 + 6 + 0 + 580 + 40 + 6 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (26058040633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46283983 + ... + 46284545.

It is an arithmetic number, because the mean of its divisors is an integer number (311793300).

Almost surely, 2^26058040632 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 26058040632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39909542400).

26058040632 is an abundant number, since it is smaller than the sum of its proper divisors (53761044168).

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

26058040632 is a wasteful number, since it uses less digits than its factorization.

26058040632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26058040632 in words is "twenty-six billion, fifty-eight million, forty thousand, six hundred thirty-two".