26501210640 has 480 divisors, whose sum is σ = 97986645120. Its totient is φ = 6637842432.

The previous prime is 26501210639. The next prime is 26501210663. The reversal of 26501210640 is 4601210562.

26501210640 is a `hidden beast` number, since 2 + 6 + 5 + 0 + 1 + 2 + 10 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 57989292 + ... + 57989748.

It is an arithmetic number, because the mean of its divisors is an integer number (204138844).

Almost surely, 2^26501210640 is an apocalyptic number.

26501210640 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 26501210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48993322560).

26501210640 is an abundant number, since it is smaller than the sum of its proper divisors (71485434480).

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

26501210640 is a wasteful number, since it uses less digits than its factorization.

26501210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 26501210640 in words is "twenty-six billion, five hundred one million, two hundred ten thousand, six hundred forty".