26557619968 has 288 divisors, whose sum is σ = 63576576000. Its totient is φ = 10941788160.

The previous prime is 26557619953. The next prime is 26557620007. The reversal of 26557619968 is 86991675562.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148366503 + ... + 148366681.

It is an arithmetic number, because the mean of its divisors is an integer number (220752000).

Almost surely, 2^26557619968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26557619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31788288000).

26557619968 is an abundant number, since it is smaller than the sum of its proper divisors (37018956032).

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

26557619968 is a wasteful number, since it uses less digits than its factorization.

26557619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 64.

The spelling of 26557619968 in words is "twenty-six billion, five hundred fifty-seven million, six hundred nineteen thousand, nine hundred sixty-eight".