26083664530560 has 3840 divisors, whose sum is σ = 123641863741440. Its totient is φ = 5112769019904.

The previous prime is 26083664530513. The next prime is 26083664530591. The reversal of 26083664530560 is 6503546638062.

26083664530560 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 3 + 6 + 6 + 45 + 30 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26083664530497 and 26083664530506.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 132404388382 + ... + 132404388578.

It is an arithmetic number, because the mean of its divisors is an integer number (32198402016).

Almost surely, 2^{26083664530560} is an apocalyptic number.

26083664530560 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 26083664530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61820931870720).

26083664530560 is an abundant number, since it is smaller than the sum of its proper divisors (97558199210880).

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

26083664530560 is a wasteful number, since it uses less digits than its factorization.

26083664530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 26083664530560 in words is "twenty-six trillion, eighty-three billion, six hundred sixty-four million, five hundred thirty thousand, five hundred sixty".