26559671040 has 576 divisors, whose sum is σ = 108880773120. Its totient is φ = 6005145600.

The previous prime is 26559670997. The next prime is 26559671059. The reversal of 26559671040 is 4017695562.

26559671040 is a `hidden beast` number, since 2 + 6 + 5 + 596 + 7 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×26559671040² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 24433377 + ... + 24434463.

It is an arithmetic number, because the mean of its divisors is an integer number (189029120).

Almost surely, 2^26559671040 is an apocalyptic number.

26559671040 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 26559671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54440386560).

26559671040 is an abundant number, since it is smaller than the sum of its proper divisors (82321102080).

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

26559671040 is a wasteful number, since it uses less digits than its factorization.

26559671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 26559671040 in words is "twenty-six billion, five hundred fifty-nine million, six hundred seventy-one thousand, forty".