26199528240 has 320 divisors, whose sum is σ = 87937228800. Its totient is φ = 6428835840.

The previous prime is 26199528239. The next prime is 26199528247. The reversal of 26199528240 is 4282599162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26199528240.

It is not an unprimeable number, because it can be changed into a prime (26199528247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43162017 + ... + 43162623.

It is an arithmetic number, because the mean of its divisors is an integer number (274803840).

Almost surely, 2^26199528240 is an apocalyptic number.

26199528240 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 26199528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43968614400).

26199528240 is an abundant number, since it is smaller than the sum of its proper divisors (61737700560).

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

26199528240 is a wasteful number, since it uses less digits than its factorization.

26199528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 26199528240 in words is "twenty-six billion, one hundred ninety-nine million, five hundred twenty-eight thousand, two hundred forty".