26988561600000 has 3840 divisors, whose sum is σ = 124507499010048. Its totient is φ = 5013504000000.

The previous prime is 26988561599999. The next prime is 26988561600053. The reversal of 26988561600000 is 616588962.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 196996799932 + ... + 196996800068.

Almost surely, 2^{26988561600000} is an apocalyptic number.

26988561600000 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 26988561600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62253749505024).

26988561600000 is an abundant number, since it is smaller than the sum of its proper divisors (97518937410048).

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

26988561600000 is a wasteful number, since it uses less digits than its factorization.

26988561600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 26988561600000 in words is "twenty-six trillion, nine hundred eighty-eight billion, five hundred sixty-one million, six hundred thousand".