26680043520 has 576 divisors, whose sum is σ = 102875572800. Its totient is φ = 6555893760.

The previous prime is 26680043519. The next prime is 26680043563. The reversal of 26680043520 is 2534008662.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 46724835 + ... + 46725405.

It is an arithmetic number, because the mean of its divisors is an integer number (178603425).

Almost surely, 2^26680043520 is an apocalyptic number.

26680043520 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 26680043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51437786400).

26680043520 is an abundant number, since it is smaller than the sum of its proper divisors (76195529280).

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

26680043520 is a wasteful number, since it uses less digits than its factorization.

26680043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26680043520 in words is "twenty-six billion, six hundred eighty million, forty-three thousand, five hundred twenty".