26345083023360 has 1456 divisors, whose sum is σ = 104749905495744. Its totient is φ = 6323215269888.

The previous prime is 26345083023331. The next prime is 26345083023397. The reversal of 26345083023360 is 6332038054362.

26345083023360 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 5 + 0 + 8 + 302 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5837596464 + ... + 5837600976.

Almost surely, 2^{26345083023360} is an apocalyptic number.

26345083023360 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 26345083023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52374952747872).

26345083023360 is an abundant number, since it is smaller than the sum of its proper divisors (78404822472384).

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

26345083023360 is an equidigital number, since it uses as much as digits as its factorization.

26345083023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 26345083023360 in words is "twenty-six trillion, three hundred forty-five billion, eighty-three million, twenty-three thousand, three hundred sixty".