26716314240 has 1536 divisors, whose sum is σ = 125748080640. Its totient is φ = 5255331840.

The previous prime is 26716314227. The next prime is 26716314301. The reversal of 26716314240 is 4241361762.

It is a super-2 number, since 2×26716314240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26716314195 and 26716314204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275425872 + ... + 275425968.

It is an arithmetic number, because the mean of its divisors is an integer number (81867240).

Almost surely, 2^26716314240 is an apocalyptic number.

26716314240 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 26716314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62874040320).

26716314240 is an abundant number, since it is smaller than the sum of its proper divisors (99031766400).

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

26716314240 is a wasteful number, since it uses less digits than its factorization.

26716314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26716314240 in words is "twenty-six billion, seven hundred sixteen million, three hundred fourteen thousand, two hundred forty".