26334974016 has 560 divisors, whose sum is σ = 89738362560. Its totient is φ = 7569469440.

The previous prime is 26334973967. The next prime is 26334974027. The reversal of 26334974016 is 61047943362.

26334974016 is a `hidden beast` number, since 2 + 633 + 4 + 9 + 7 + 4 + 0 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167738610 + ... + 167738766.

It is an arithmetic number, because the mean of its divisors is an integer number (160247076).

Almost surely, 2^26334974016 is an apocalyptic number.

26334974016 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 26334974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44869181280).

26334974016 is an abundant number, since it is smaller than the sum of its proper divisors (63403388544).

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

26334974016 is a wasteful number, since it uses less digits than its factorization.

26334974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 26334974016 in words is "twenty-six billion, three hundred thirty-four million, nine hundred seventy-four thousand, sixteen".