26345368982400 has 768 divisors, whose sum is σ = 99044617613760. Its totient is φ = 6097529733120.

The previous prime is 26345368982369. The next prime is 26345368982423. The reversal of 26345368982400 is 428986354362.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2369821642 + ... + 2369832758.

Almost surely, 2^{26345368982400} is an apocalyptic number.

26345368982400 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 26345368982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49522308806880).

26345368982400 is an abundant number, since it is smaller than the sum of its proper divisors (72699248631360).

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

26345368982400 is a wasteful number, since it uses less digits than its factorization.

26345368982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 60.

The spelling of 26345368982400 in words is "twenty-six trillion, three hundred forty-five billion, three hundred sixty-eight million, nine hundred eighty-two thousand, four hundred".