26681503680 has 420 divisors, whose sum is σ = 102790108872. Its totient is φ = 6566676480.

The previous prime is 26681503663. The next prime is 26681503691. The reversal of 26681503680 is 8630518662.

26681503680 is a `hidden beast` number, since 2 + 6 + 6 + 81 + 503 + 68 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4377435 + ... + 4383525.

Almost surely, 2^26681503680 is an apocalyptic number.

26681503680 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 26681503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51395054436).

26681503680 is an abundant number, since it is smaller than the sum of its proper divisors (76108605192).

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

26681503680 is a wasteful number, since it uses less digits than its factorization.

26681503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 26681503680 in words is "twenty-six billion, six hundred eighty-one million, five hundred three thousand, six hundred eighty".