26227722240 has 480 divisors, whose sum is σ = 95230175040. Its totient is φ = 6903595008.

The previous prime is 26227722239. The next prime is 26227722271. The reversal of 26227722240 is 4222772262.

26227722240 is a `hidden beast` number, since 2 + 622 + 7 + 7 + 2 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 26227722195 and 26227722204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85432167 + ... + 85432473.

It is an arithmetic number, because the mean of its divisors is an integer number (198396198).

Almost surely, 2^26227722240 is an apocalyptic number.

26227722240 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 26227722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47615087520).

26227722240 is an abundant number, since it is smaller than the sum of its proper divisors (69002452800).

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

26227722240 is a wasteful number, since it uses less digits than its factorization.

26227722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 26227722240 in words is "twenty-six billion, two hundred twenty-seven million, seven hundred twenty-two thousand, two hundred forty".