26988361021440 has 6144 divisors, whose sum is σ = 136473652224000. Its totient is φ = 4953389137920.

The previous prime is 26988361021331. The next prime is 26988361021441. The reversal of 26988361021440 is 4412016388962.

26988361021440 is a `hidden beast` number, since 2 + 6 + 9 + 8 + 8 + 3 + 610 + 2 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26988361021441) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 658252707820 + ... + 658252707860.

It is an arithmetic number, because the mean of its divisors is an integer number (22212508500).

Almost surely, 2^{26988361021440} is an apocalyptic number.

26988361021440 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 26988361021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68236826112000).

26988361021440 is an abundant number, since it is smaller than the sum of its proper divisors (109485291202560).

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

26988361021440 is a wasteful number, since it uses less digits than its factorization.

26988361021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 26988361021440 in words is "twenty-six trillion, nine hundred eighty-eight billion, three hundred sixty-one million, twenty-one thousand, four hundred forty".