26215987200 has 576 divisors, whose sum is σ = 98387452800. Its totient is φ = 6104678400.

The previous prime is 26215987199. The next prime is 26215987201. The reversal of 26215987200 is 278951262.

It is an interprime number because it is at equal distance from previous prime (26215987199) and next prime (26215987201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26215987201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37938855 + ... + 37939545.

It is an arithmetic number, because the mean of its divisors is an integer number (170811550).

Almost surely, 2^26215987200 is an apocalyptic number.

26215987200 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 26215987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49193726400).

26215987200 is an abundant number, since it is smaller than the sum of its proper divisors (72171465600).

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

26215987200 is a wasteful number, since it uses less digits than its factorization.

26215987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 26215987200 in words is "twenty-six billion, two hundred fifteen million, nine hundred eighty-seven thousand, two hundred".