26986234675200 has 1536 divisors, whose sum is σ = 98441832652800. Its totient is φ = 6497501184000.

The previous prime is 26986234675069. The next prime is 26986234675201. The reversal of 26986234675200 is 257643268962.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (26986234675201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149095219110 + ... + 149095219290.

It is an arithmetic number, because the mean of its divisors is an integer number (64089734800).

Almost surely, 2^{26986234675200} is an apocalyptic number.

26986234675200 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 26986234675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49220916326400).

26986234675200 is an abundant number, since it is smaller than the sum of its proper divisors (71455597977600).

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

26986234675200 is a wasteful number, since it uses less digits than its factorization.

26986234675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 26986234675200 in words is "twenty-six trillion, nine hundred eighty-six billion, two hundred thirty-four million, six hundred seventy-five thousand, two hundred".