26928201399120 has 640 divisors, whose sum is σ = 108721064263680. Its totient is φ = 5997866434560.

The previous prime is 26928201399091. The next prime is 26928201399193. The reversal of 26928201399120 is 2199310282962.

26928201399120 is a `hidden beast` number, since 2 + 6 + 9 + 28 + 201 + 399 + 1 + 20 = 666.

It is a Cunningham number, because it is equal to 5189239²-1.

It is a super-3 number, since 3×26928201399120³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280170912 + ... + 280267008.

It is an arithmetic number, because the mean of its divisors is an integer number (169876662912).

Almost surely, 2^{26928201399120} is an apocalyptic number.

26928201399120 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 26928201399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54360532131840).

26928201399120 is an abundant number, since it is smaller than the sum of its proper divisors (81792862864560).

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

26928201399120 is a wasteful number, since it uses less digits than its factorization.

26928201399120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96600 (or 96588 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 26928201399120 in words is "twenty-six trillion, nine hundred twenty-eight billion, two hundred one million, three hundred ninety-nine thousand, one hundred twenty".