26907828480 has 864 divisors, whose sum is σ = 109881515520. Its totient is φ = 6210846720.

The previous prime is 26907828473. The next prime is 26907828487. The reversal of 26907828480 is 8482870962.

26907828480 is a `hidden beast` number, since 2 + 6 + 90 + 78 + 2 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (26907828473) and next prime (26907828487).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×26907828480² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (26907828487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99290745 + ... + 99291015.

It is an arithmetic number, because the mean of its divisors is an integer number (127177680).

Almost surely, 2^26907828480 is an apocalyptic number.

26907828480 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 26907828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54940757760).

26907828480 is an abundant number, since it is smaller than the sum of its proper divisors (82973687040).

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

26907828480 is a wasteful number, since it uses less digits than its factorization.

26907828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 26907828480 in words is "twenty-six billion, nine hundred seven million, eight hundred twenty-eight thousand, four hundred eighty".