26531407872 has 192 divisors, whose sum is σ = 82732104000. Its totient is φ = 8378007552.

The previous prime is 26531407843. The next prime is 26531407897. The reversal of 26531407872 is 27870413562.

26531407872 is a `hidden beast` number, since 2 + 6 + 531 + 40 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037998 + ... + 1063250.

It is an arithmetic number, because the mean of its divisors is an integer number (430896375).

Almost surely, 2^26531407872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26531407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41366052000).

26531407872 is an abundant number, since it is smaller than the sum of its proper divisors (56200696128).

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

26531407872 is a wasteful number, since it uses less digits than its factorization.

26531407872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25303 (or 25277 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 26531407872 in words is "twenty-six billion, five hundred thirty-one million, four hundred seven thousand, eight hundred seventy-two".