26661013526400 has 768 divisors, whose sum is σ = 99764623226880. Its totient is φ = 6199345152000.

The previous prime is 26661013526359. The next prime is 26661013526443. The reversal of 26661013526400 is 462531016662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369880764 + ... + 369952836.

It is an arithmetic number, because the mean of its divisors is an integer number (129901853160).

Almost surely, 2^{26661013526400} is an apocalyptic number.

26661013526400 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 26661013526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49882311613440).

26661013526400 is an abundant number, since it is smaller than the sum of its proper divisors (73103609700480).

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

26661013526400 is a wasteful number, since it uses less digits than its factorization.

26661013526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72255 (or 72238 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 26661013526400 in words is "twenty-six trillion, six hundred sixty-one billion, thirteen million, five hundred twenty-six thousand, four hundred".