26112794400 has 1728 divisors, whose sum is σ = 125961937920. Its totient is φ = 4926873600.

The previous prime is 26112794371. The next prime is 26112794413. The reversal of 26112794400 is 449721162.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 389743167 + ... + 389743233.

It is an arithmetic number, because the mean of its divisors is an integer number (72894640).

Almost surely, 2^26112794400 is an apocalyptic number.

26112794400 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 26112794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62980968960).

26112794400 is an abundant number, since it is smaller than the sum of its proper divisors (99849143520).

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

26112794400 is a wasteful number, since it uses less digits than its factorization.

26112794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 26112794400 in words is "twenty-six billion, one hundred twelve million, seven hundred ninety-four thousand, four hundred".