26657832960 has 720 divisors, whose sum is σ = 106731293760. Its totient is φ = 6086983680.

The previous prime is 26657832931. The next prime is 26657832967. The reversal of 26657832960 is 6923875662.

26657832960 is a `hidden beast` number, since 2 + 6 + 6 + 578 + 3 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 26657832897 and 26657832906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26657832967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154091434 + ... + 154091606.

It is an arithmetic number, because the mean of its divisors is an integer number (148237908).

Almost surely, 2^26657832960 is an apocalyptic number.

26657832960 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 26657832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53365646880).

26657832960 is an abundant number, since it is smaller than the sum of its proper divisors (80073460800).

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

26657832960 is a wasteful number, since it uses less digits than its factorization.

26657832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 26657832960 in words is "twenty-six billion, six hundred fifty-seven million, eight hundred thirty-two thousand, nine hundred sixty".