26241603600 has 240 divisors, whose sum is σ = 85131376640. Its totient is φ = 6909235200.

The previous prime is 26241603527. The next prime is 26241603643. The reversal of 26241603600 is 630614262.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 62331390 + ... + 62331810.

Almost surely, 2^26241603600 is an apocalyptic number.

26241603600 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 26241603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42565688320).

26241603600 is an abundant number, since it is smaller than the sum of its proper divisors (58889773040).

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

26241603600 is a wasteful number, since it uses less digits than its factorization.

26241603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 26241603600 in words is "twenty-six billion, two hundred forty-one million, six hundred three thousand, six hundred".