26152781220864 has 264 divisors, whose sum is σ = 77425248215952. Its totient is φ = 8497513758720.

The previous prime is 26152781220833. The next prime is 26152781220919. The reversal of 26152781220864 is 46802218725162.

26152781220864 is a `hidden beast` number, since 2 + 6 + 1 + 527 + 8 + 12 + 20 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26152781220864.

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, 439416772 + ... + 439476284.

Almost surely, 2^{26152781220864} is an apocalyptic number.

26152781220864 is a gapful number since it is divisible by the number (24) 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 26152781220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38712624107976).

26152781220864 is an abundant number, since it is smaller than the sum of its proper divisors (51272466995088).

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

26152781220864 is a wasteful number, since it uses less digits than its factorization.

26152781220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60743 (or 60722 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 26152781220864 in words is "twenty-six trillion, one hundred fifty-two billion, seven hundred eighty-one million, two hundred twenty thousand, eight hundred sixty-four".