26687485440 has 960 divisors, whose sum is σ = 117967449600. Its totient is φ = 5527388160.

The previous prime is 26687485423. The next prime is 26687485469. The reversal of 26687485440 is 4458478662.

It is a happy number.

26687485440 is a `hidden beast` number, since 26 + 6 + 8 + 74 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×26687485440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86929767 + ... + 86930073.

It is an arithmetic number, because the mean of its divisors is an integer number (122882760).

Almost surely, 2^26687485440 is an apocalyptic number.

26687485440 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 26687485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58983724800).

26687485440 is an abundant number, since it is smaller than the sum of its proper divisors (91279964160).

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

26687485440 is a wasteful number, since it uses less digits than its factorization.

26687485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 26687485440 in words is "twenty-six billion, six hundred eighty-seven million, four hundred eighty-five thousand, four hundred forty".