26028896544 has 288 divisors, whose sum is σ = 88146938880. Its totient is φ = 7129036800.

The previous prime is 26028896527. The next prime is 26028896561. The reversal of 26028896544 is 44569882062.

26028896544 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 8 + 8 + 96 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (26028896527) and next prime (26028896561).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6810154 + ... + 6813974.

It is an arithmetic number, because the mean of its divisors is an integer number (306065760).

Almost surely, 2^26028896544 is an apocalyptic number.

26028896544 is a gapful number since it is divisible by the number (24) 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 26028896544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44073469440).

26028896544 is an abundant number, since it is smaller than the sum of its proper divisors (62118042336).

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

26028896544 is a wasteful number, since it uses less digits than its factorization.

26028896544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 26028896544 in words is "twenty-six billion, twenty-eight million, eight hundred ninety-six thousand, five hundred forty-four".