26649544320 has 1280 divisors, whose sum is σ = 118293626880. Its totient is φ = 5583790080.

The previous prime is 26649544303. The next prime is 26649544333. The reversal of 26649544320 is 2344594662.

26649544320 is a `hidden beast` number, since 2 + 66 + 49 + 544 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 258733389 + ... + 258733491.

It is an arithmetic number, because the mean of its divisors is an integer number (92416896).

Almost surely, 2^26649544320 is an apocalyptic number.

26649544320 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 26649544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59146813440).

26649544320 is an abundant number, since it is smaller than the sum of its proper divisors (91644082560).

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

26649544320 is a wasteful number, since it uses less digits than its factorization.

26649544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 26649544320 in words is "twenty-six billion, six hundred forty-nine million, five hundred forty-four thousand, three hundred twenty".