26850963456 has 312 divisors, whose sum is σ = 82111170960. Its totient is φ = 8764194816.

The previous prime is 26850963437. The next prime is 26850963467. The reversal of 26850963456 is 65436905862.

26850963456 is a `hidden beast` number, since 26 + 8 + 509 + 63 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52752130 + ... + 52752638.

It is an arithmetic number, because the mean of its divisors is an integer number (263176830).

Almost surely, 2^26850963456 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 26850963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41055585480).

26850963456 is an abundant number, since it is smaller than the sum of its proper divisors (55260207504).

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

26850963456 is an frugal number, since it uses more digits than its factorization.

26850963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 26850963456 in words is "twenty-six billion, eight hundred fifty million, nine hundred sixty-three thousand, four hundred fifty-six".