26520412976928 has 480 divisors, whose sum is σ = 88469840067840. Its totient is φ = 7725964861440.

The previous prime is 26520412976921. The next prime is 26520412976929. The reversal of 26520412976928 is 82967921402562.

26520412976928 is a `hidden beast` number, since 2 + 6 + 52 + 0 + 412 + 97 + 69 + 28 = 666.

It is a super-2 number, since 2×26520412976928² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26520412976921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1137666393 + ... + 1137689703.

It is an arithmetic number, because the mean of its divisors is an integer number (184312166808).

Almost surely, 2^{26520412976928} 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 26520412976928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44234920033920).

26520412976928 is an abundant number, since it is smaller than the sum of its proper divisors (61949427090912).

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

26520412976928 is a wasteful number, since it uses less digits than its factorization.

26520412976928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142 (or 25125 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 26520412976928 in words is "twenty-six trillion, five hundred twenty billion, four hundred twelve million, nine hundred seventy-six thousand, nine hundred twenty-eight".