26523248640 has 192 divisors, whose sum is σ = 96976414080. Its totient is φ = 6062407680.

The previous prime is 26523248627. The next prime is 26523248651. The reversal of 26523248640 is 4684232562.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26523248592 and 26523248601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153370 + ... + 276710.

It is an arithmetic number, because the mean of its divisors is an integer number (505085490).

Almost surely, 2^26523248640 is an apocalyptic number.

26523248640 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 26523248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48488207040).

26523248640 is an abundant number, since it is smaller than the sum of its proper divisors (70453165440).

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

26523248640 is a wasteful number, since it uses less digits than its factorization.

26523248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123378 (or 123358 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 26523248640 in words is "twenty-six billion, five hundred twenty-three million, two hundred forty-eight thousand, six hundred forty".