26042687328 has 384 divisors, whose sum is σ = 86134358016. Its totient is φ = 6718464000.

The previous prime is 26042687317. The next prime is 26042687339. The reversal of 26042687328 is 82378624062.

It is an interprime number because it is at equal distance from previous prime (26042687317) and next prime (26042687339).

It is a super-3 number, since 3×26042687328³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53475501 + ... + 53475987.

It is an arithmetic number, because the mean of its divisors is an integer number (224308224).

Almost surely, 2^26042687328 is an apocalyptic number.

26042687328 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 26042687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43067179008).

26042687328 is an abundant number, since it is smaller than the sum of its proper divisors (60091670688).

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

26042687328 is a wasteful number, since it uses less digits than its factorization.

26042687328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 26042687328 in words is "twenty-six billion, forty-two million, six hundred eighty-seven thousand, three hundred twenty-eight".