26814412800 has 1152 divisors, whose sum is σ = 119917324800. Its totient is φ = 5733089280.

The previous prime is 26814412799. The next prime is 26814412811. The reversal of 26814412800 is 821441862.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164505519 + ... + 164505681.

It is an arithmetic number, because the mean of its divisors is an integer number (104094900).

Almost surely, 2^26814412800 is an apocalyptic number.

26814412800 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 26814412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59958662400).

26814412800 is an abundant number, since it is smaller than the sum of its proper divisors (93102912000).

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

26814412800 is a wasteful number, since it uses less digits than its factorization.

26814412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 26814412800 in words is "twenty-six billion, eight hundred fourteen million, four hundred twelve thousand, eight hundred".