26681633280 has 840 divisors, whose sum is σ = 105181099452. Its totient is φ = 6465650688.

The previous prime is 26681633273. The next prime is 26681633347. The reversal of 26681633280 is 8233618662.

It is a happy number.

26681633280 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 1 + 633 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16021483776 + 10660149504 = 126576^2 + 103248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 920056306 + ... + 920056334.

Almost surely, 2^26681633280 is an apocalyptic number.

26681633280 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 26681633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590549726).

26681633280 is an abundant number, since it is smaller than the sum of its proper divisors (78499466172).

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

26681633280 is an frugal number, since it uses more digits than its factorization.

26681633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 26681633280 in words is "twenty-six billion, six hundred eighty-one million, six hundred thirty-three thousand, two hundred eighty".