26755407540 has 192 divisors, whose sum is σ = 88114118400. Its totient is φ = 6728375808.

The previous prime is 26755407533. The next prime is 26755407599. The reversal of 26755407540 is 4570455762.

26755407540 is a `hidden beast` number, since 2 + 67 + 5 + 5 + 40 + 7 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 653514 + ... + 693246.

It is an arithmetic number, because the mean of its divisors is an integer number (458927700).

Almost surely, 2^26755407540 is an apocalyptic number.

26755407540 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 26755407540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44057059200).

26755407540 is an abundant number, since it is smaller than the sum of its proper divisors (61358710860).

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

26755407540 is a wasteful number, since it uses less digits than its factorization.

26755407540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39823 (or 39815 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 26755407540 in words is "twenty-six billion, seven hundred fifty-five million, four hundred seven thousand, five hundred forty".