26148864000 has 640 divisors, whose sum is σ = 104689728000. Its totient is φ = 5662310400.

The previous prime is 26148863963. The next prime is 26148864067. The reversal of 26148864000 is 46884162.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26148864000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376255991 + ... + 1376256009.

It is an arithmetic number, because the mean of its divisors is an integer number (163577700).

Almost surely, 2^26148864000 is an apocalyptic number.

26148864000 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 26148864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344864000).

26148864000 is an abundant number, since it is smaller than the sum of its proper divisors (78540864000).

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

26148864000 is an frugal number, since it uses more digits than its factorization.

26148864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 26148864000 in words is "twenty-six billion, one hundred forty-eight million, eight hundred sixty-four thousand".