26124563616 has 96 divisors (see below), whose sum is σ = 71623440000. Its totient is φ = 8322023424.

The previous prime is 26124563587. The next prime is 26124563623. The reversal of 26124563616 is 61636542162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×26124563616³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2753056 + ... + 2762528.

It is an arithmetic number, because the mean of its divisors is an integer number (746077500).

Almost surely, 2^26124563616 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 26124563616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35811720000).

26124563616 is an abundant number, since it is smaller than the sum of its proper divisors (45498876384).

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

26124563616 is a wasteful number, since it uses less digits than its factorization.

26124563616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10750 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 26124563616 in words is "twenty-six billion, one hundred twenty-four million, five hundred sixty-three thousand, six hundred sixteen".