26553878260 has 144 divisors (see below), whose sum is σ = 72641923200. Its totient is φ = 7961421312.

The previous prime is 26553878257. The next prime is 26553878269. The reversal of 26553878260 is 6287835562.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 26553878198 and 26553878207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26553878269) 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, 420006 + ... + 479074.

It is an arithmetic number, because the mean of its divisors is an integer number (504457800).

Almost surely, 2^26553878260 is an apocalyptic number.

26553878260 is a gapful number since it is divisible by the number (20) 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 26553878260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36320961600).

26553878260 is an abundant number, since it is smaller than the sum of its proper divisors (46088044940).

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

26553878260 is a wasteful number, since it uses less digits than its factorization.

26553878260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59130 (or 59115 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 26553878260 in words is "twenty-six billion, five hundred fifty-three million, eight hundred seventy-eight thousand, two hundred sixty".