26578311217920 has 4608 divisors, whose sum is σ = 126461438853120. Its totient is φ = 5127929856000.

The previous prime is 26578311217841. The next prime is 26578311217943. The reversal of 26578311217920 is 2971211387562.

26578311217920 is a `hidden beast` number, since 2 + 6 + 578 + 31 + 1 + 2 + 17 + 9 + 20 = 666.

It is a super-2 number, since 2×26578311217920² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 364086455004 + ... + 364086455076.

It is an arithmetic number, because the mean of its divisors is an integer number (27443888640).

Almost surely, 2^{26578311217920} is an apocalyptic number.

26578311217920 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 26578311217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63230719426560).

26578311217920 is an abundant number, since it is smaller than the sum of its proper divisors (99883127635200).

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

26578311217920 is a wasteful number, since it uses less digits than its factorization.

26578311217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 26578311217920 in words is "twenty-six trillion, five hundred seventy-eight billion, three hundred eleven million, two hundred seventeen thousand, nine hundred twenty".