26228346056640 has 1344 divisors, whose sum is σ = 115406780396544. Its totient is φ = 5521347182592.

The previous prime is 26228346056593. The next prime is 26228346056651. The reversal of 26228346056640 is 4665064382262.

26228346056640 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 8 + 34 + 6 + 0 + 566 + 40 = 666.

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

It is a super-2 number, since 2×26228346056640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3304562752 + ... + 3304570688.

It is an arithmetic number, because the mean of its divisors is an integer number (85868140176).

Almost surely, 2^{26228346056640} is an apocalyptic number.

26228346056640 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 26228346056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57703390198272).

26228346056640 is an abundant number, since it is smaller than the sum of its proper divisors (89178434339904).

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

26228346056640 is a wasteful number, since it uses less digits than its factorization.

26228346056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 26228346056640 in words is "twenty-six trillion, two hundred twenty-eight billion, three hundred forty-six million, fifty-six thousand, six hundred forty".