26353406052 has 120 divisors (see below), whose sum is σ = 73233307224. Its totient is φ = 8235122688.

The previous prime is 26353406047. The next prime is 26353406179. The reversal of 26353406052 is 25060435362.

26353406052 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 3 + 40 + 605 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22579269696 + 3774136356 = 150264^2 + 61434^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 26353405998 and 26353406016.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1406248 + ... + 1424864.

Almost surely, 2^26353406052 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 26353406052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36616653612).

26353406052 is an abundant number, since it is smaller than the sum of its proper divisors (46879901172).

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

26353406052 is a wasteful number, since it uses less digits than its factorization.

26353406052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18907 (or 18896 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 26353406052 in words is "twenty-six billion, three hundred fifty-three million, four hundred six thousand, fifty-two".