26116252400 has 240 divisors, whose sum is σ = 75793839360. Its totient is φ = 8447846400.

The previous prime is 26116252361. The next prime is 26116252423. The reversal of 26116252400 is 425261162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14948327 + ... + 14950073.

It is an arithmetic number, because the mean of its divisors is an integer number (315807664).

Almost surely, 2^26116252400 is an apocalyptic number.

26116252400 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 26116252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37896919680).

26116252400 is an abundant number, since it is smaller than the sum of its proper divisors (49677586960).

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

26116252400 is a wasteful number, since it uses less digits than its factorization.

26116252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 26116252400 in words is "twenty-six billion, one hundred sixteen million, two hundred fifty-two thousand, four hundred".