26199613440 has 1344 divisors, whose sum is σ = 123657311232. Its totient is φ = 4954521600.

The previous prime is 26199613423. The next prime is 26199613499. The reversal of 26199613440 is 4431699162.

26199613440 is a `hidden beast` number, since 2 + 6 + 199 + 6 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369008605 + ... + 369008675.

It is an arithmetic number, because the mean of its divisors is an integer number (92006928).

Almost surely, 2^26199613440 is an apocalyptic number.

26199613440 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 26199613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61828655616).

26199613440 is an abundant number, since it is smaller than the sum of its proper divisors (97457697792).

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

26199613440 is a wasteful number, since it uses less digits than its factorization.

26199613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26199613440 in words is "twenty-six billion, one hundred ninety-nine million, six hundred thirteen thousand, four hundred forty".