26070220800000 has 1656 divisors, whose sum is σ = 107341084933992. Its totient is φ = 6039797760000.

The previous prime is 26070220799977. The next prime is 26070220800007. The reversal of 26070220800000 is 802207062.

It can be written as a sum of positive squares in 12 ways, for example, as 26067804880896 + 2415919104 = 5105664^2 + 49152^2 .

It is a super-5 number, since 5×26070220800000⁵ (a number of 68 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26070220800007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1533542399992 + ... + 1533542400008.

Almost surely, 2^{26070220800000} is an apocalyptic number.

26070220800000 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 26070220800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53670542466996).

26070220800000 is an abundant number, since it is smaller than the sum of its proper divisors (81270864133992).

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

26070220800000 is an frugal number, since it uses more digits than its factorization.

26070220800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 26070220800000 in words is "twenty-six trillion, seventy billion, two hundred twenty million, eight hundred thousand".