26007654816 has 576 divisors, whose sum is σ = 93062825856. Its totient is φ = 6824632320.

The previous prime is 26007654773. The next prime is 26007654821. The reversal of 26007654816 is 61845670062.

26007654816 is a `hidden beast` number, since 26 + 0 + 0 + 76 + 548 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84715335 + ... + 84715641.

It is an arithmetic number, because the mean of its divisors is an integer number (161567406).

Almost surely, 2^26007654816 is an apocalyptic number.

26007654816 is a gapful number since it is divisible by the number (26) 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 26007654816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46531412928).

26007654816 is an abundant number, since it is smaller than the sum of its proper divisors (67055171040).

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

26007654816 is a wasteful number, since it uses less digits than its factorization.

26007654816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26007654816 in words is "twenty-six billion, seven million, six hundred fifty-four thousand, eight hundred sixteen".