26212838400 has 396 divisors, whose sum is σ = 107268728112. Its totient is φ = 5991137280.

The previous prime is 26212838383. The next prime is 26212838413. The reversal of 26212838400 is 483821262.

26212838400 is a `hidden beast` number, since 2 + 6 + 212 + 8 + 38 + 400 = 666.

It is a super-2 number, since 2×26212838400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1604674 + ... + 1620926.

Almost surely, 2^26212838400 is an apocalyptic number.

26212838400 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 26212838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53634364056).

26212838400 is an abundant number, since it is smaller than the sum of its proper divisors (81055889712).

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

26212838400 is a wasteful number, since it uses less digits than its factorization.

26212838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16296 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 26212838400 in words is "twenty-six billion, two hundred twelve million, eight hundred thirty-eight thousand, four hundred".