26052120864 has 864 divisors, whose sum is σ = 101148989760. Its totient is φ = 6322821120.

The previous prime is 26052120863. The next prime is 26052120893. The reversal of 26052120864 is 46802125062.

It is a happy number.

26052120864 is a `hidden beast` number, since 2 + 605 + 21 + 20 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26052120863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356878332 + ... + 356878404.

It is an arithmetic number, because the mean of its divisors is an integer number (117070590).

Almost surely, 2^26052120864 is an apocalyptic number.

26052120864 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 26052120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50574494880).

26052120864 is an abundant number, since it is smaller than the sum of its proper divisors (75096868896).

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

26052120864 is a wasteful number, since it uses less digits than its factorization.

26052120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 26052120864 in words is "twenty-six billion, fifty-two million, one hundred twenty thousand, eight hundred sixty-four".