26385273600000 has 1152 divisors, whose sum is σ = 102646890178560. Its totient is φ = 5901189120000.

The previous prime is 26385273599989. The next prime is 26385273600053. The reversal of 26385273600000 is 637258362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6316797912 + ... + 6316802088.

It is an arithmetic number, because the mean of its divisors is an integer number (89103203280).

Almost surely, 2^{26385273600000} is an apocalyptic number.

26385273600000 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 26385273600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51323445089280).

26385273600000 is an abundant number, since it is smaller than the sum of its proper divisors (76261616578560).

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

26385273600000 is an frugal number, since it uses more digits than its factorization.

26385273600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 26385273600000 in words is "twenty-six trillion, three hundred eighty-five billion, two hundred seventy-three million, six hundred thousand".