26162420428800 has 468 divisors, whose sum is σ = 97178928614040. Its totient is φ = 6976638812160.

The previous prime is 26162420428789. The next prime is 26162420428813. The reversal of 26162420428800 is 882402426162.

26162420428800 is a `hidden beast` number, since 2 + 6 + 162 + 4 + 204 + 288 + 0 + 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 35 ways as a sum of consecutive naturals, for example, 24357496 + ... + 25408904.

Almost surely, 2^{26162420428800} is an apocalyptic number.

26162420428800 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 26162420428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48589464307020).

26162420428800 is an abundant number, since it is smaller than the sum of its proper divisors (71016508185240).

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

26162420428800 is an equidigital number, since it uses as much as digits as its factorization.

26162420428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051458 (or 1051419 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 26162420428800 in words is "twenty-six trillion, one hundred sixty-two billion, four hundred twenty million, four hundred twenty-eight thousand, eight hundred".