26799498362880 has 640 divisors, whose sum is σ = 96731665371000. Its totient is φ = 7098045825024.

The previous prime is 26799498362851. The next prime is 26799498362881. The reversal of 26799498362880 is 8826389499762.

26799498362880 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 94 + 98 + 362 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19906731196416 + 6892767166464 = 4461696^2 + 2625408^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×26799498362880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 26799498362880.

It is not an unprimeable number, because it can be changed into a prime (26799498362881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1977378184 + ... + 1977391736.

Almost surely, 2^{26799498362880} is an apocalyptic number.

26799498362880 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 26799498362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365832685500).

26799498362880 is an abundant number, since it is smaller than the sum of its proper divisors (69932167008120).

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

26799498362880 is an equidigital number, since it uses as much as digits as its factorization.

26799498362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13749 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 26799498362880 in words is "twenty-six trillion, seven hundred ninety-nine billion, four hundred ninety-eight million, three hundred sixty-two thousand, eight hundred eighty".