26420102045568 has 1792 divisors, whose sum is σ = 101525394816000. Its totient is φ = 6785275392000.

The previous prime is 26420102045567. The next prime is 26420102045587. The reversal of 26420102045568 is 86554020102462.

26420102045568 is a `hidden beast` number, since 2 + 6 + 4 + 20 + 1 + 0 + 20 + 45 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26420102045567) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 35558683405 + ... + 35558684147.

Almost surely, 2^{26420102045568} is an apocalyptic number.

26420102045568 is a gapful number since it is divisible by the number (28) 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 26420102045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50762697408000).

26420102045568 is an abundant number, since it is smaller than the sum of its proper divisors (75105292770432).

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

26420102045568 is an equidigital number, since it uses as much as digits as its factorization.

26420102045568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 26420102045568 in words is "twenty-six trillion, four hundred twenty billion, one hundred two million, forty-five thousand, five hundred sixty-eight".