26040052080 has 240 divisors, whose sum is σ = 103168825344. Its totient is φ = 5759976960.

The previous prime is 26040052079. The next prime is 26040052091. The reversal of 26040052080 is 8025004062.

26040052080 is a `hidden beast` number, since 2 + 60 + 4 + 0 + 0 + 520 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×26040052080² (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 47 ways as a sum of consecutive naturals, for example, 72907 + ... + 239573.

Almost surely, 2^26040052080 is an apocalyptic number.

26040052080 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 26040052080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584412672).

26040052080 is an abundant number, since it is smaller than the sum of its proper divisors (77128773264).

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

26040052080 is a wasteful number, since it uses less digits than its factorization.

26040052080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166724 (or 166715 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 26040052080 in words is "twenty-six billion, forty million, fifty-two thousand, eighty".