26479155558960 has 720 divisors, whose sum is σ = 98008562452320. Its totient is φ = 6402089041920.

The previous prime is 26479155558937. The next prime is 26479155558967. The reversal of 26479155558960 is 6985555197462.

26479155558960 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 9 + 1 + 5 + 5 + 558 + 9 + 60 = 666.

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

It is a super-2 number, since 2×26479155558960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26479155558967) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6375908244 + ... + 6375912396.

It is an arithmetic number, because the mean of its divisors is an integer number (136123003406).

Almost surely, 2^{26479155558960} is an apocalyptic number.

26479155558960 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 26479155558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49004281226160).

26479155558960 is an abundant number, since it is smaller than the sum of its proper divisors (71529406893360).

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

26479155558960 is a wasteful number, since it uses less digits than its factorization.

26479155558960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 26479155558960 in words is "twenty-six trillion, four hundred seventy-nine billion, one hundred fifty-five million, five hundred fifty-eight thousand, nine hundred sixty".