26230906204800 has 1152 divisors, whose sum is σ = 96415385270400. Its totient is φ = 6262603776000.

The previous prime is 26230906204799. The next prime is 26230906204843. The reversal of 26230906204800 is 840260903262.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50347228540 + ... + 50347229060.

It is an arithmetic number, because the mean of its divisors is an integer number (83693910825).

Almost surely, 2^{26230906204800} is an apocalyptic number.

26230906204800 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 26230906204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48207692635200).

26230906204800 is an abundant number, since it is smaller than the sum of its proper divisors (70184479065600).

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

26230906204800 is a wasteful number, since it uses less digits than its factorization.

26230906204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 26230906204800 in words is "twenty-six trillion, two hundred thirty billion, nine hundred six million, two hundred four thousand, eight hundred".