26530519680 has 640 divisors, whose sum is σ = 109407386880. Its totient is φ = 6001164288.

The previous prime is 26530519621. The next prime is 26530519699. The reversal of 26530519680 is 8691503562.

26530519680 is a `hidden beast` number, since 2 + 6 + 53 + 0 + 519 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 41005117 + ... + 41005763.

It is an arithmetic number, because the mean of its divisors is an integer number (170949042).

Almost surely, 2^26530519680 is an apocalyptic number.

26530519680 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 26530519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54703693440).

26530519680 is an abundant number, since it is smaller than the sum of its proper divisors (82876867200).

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

26530519680 is a wasteful number, since it uses less digits than its factorization.

26530519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 26530519680 in words is "twenty-six billion, five hundred thirty million, five hundred nineteen thousand, six hundred eighty".