26283880546560 has 1728 divisors, whose sum is σ = 117256074566400. Its totient is φ = 5526124756992.

The previous prime is 26283880546543. The next prime is 26283880546603. The reversal of 26283880546560 is 6564508838262.

It is a happy number.

26283880546560 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 3 + 8 + 80 + 546 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6758517096 + ... + 6758520984.

Almost surely, 2^{26283880546560} is an apocalyptic number.

26283880546560 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 26283880546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58628037283200).

26283880546560 is an abundant number, since it is smaller than the sum of its proper divisors (90972194019840).

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

26283880546560 is a wasteful number, since it uses less digits than its factorization.

26283880546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 26283880546560 in words is "twenty-six trillion, two hundred eighty-three billion, eight hundred eighty million, five hundred forty-six thousand, five hundred sixty".