26552402640 has 200 divisors, whose sum is σ = 92448976488. Its totient is φ = 7063096320.

The previous prime is 26552402633. The next prime is 26552402671. The reversal of 26552402640 is 4620425562.

26552402640 is a `hidden beast` number, since 2 + 6 + 5 + 5 + 2 + 4 + 0 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 784448064 + 25767954576 = 28008^2 + 160524^2 .

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 = 26552402595 and 26552402604.

It is a congruent number.

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, 2723214 + ... + 2732946.

Almost surely, 2^26552402640 is an apocalyptic number.

26552402640 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 26552402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46224488244).

26552402640 is an abundant number, since it is smaller than the sum of its proper divisors (65896573848).

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

26552402640 is a wasteful number, since it uses less digits than its factorization.

26552402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10164 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 26552402640 in words is "twenty-six billion, five hundred fifty-two million, four hundred two thousand, six hundred forty".